What is the value of k if 1 2 is a root of the equation x2 kx 5 4 0?

Answers

Answer 1

The value of k in the quadratic equation is k = 2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² + kx - 5/4 = 0   be equation (1)

Now , on simplifying the equation , we get

If 1/2 is the root of given equation, then it will satisfy it.

So , when x = 1/2

( 1/2 )² + k ( 1/2 ) - 5/4 = 0

( 1/4 ) + k/2 - 5/4 = 0

k/2 - 1 = 0

Adding 1 on both sides of the equation , we get

k/2 = 1

Multiply by 2 on both sides of the equation , we get

k = 2

Therefore , the value of k is 2

Hence , the value of k in the equation is 2

To learn more about quadratic equations click :

https://brainly.com/question/25652857

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Related Questions

Solve by factoring.

m^2+6m+5=0

Answers

Answer:

-1 and -5

Step-by-step explanation:

m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.

The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.

(m + 1) = 0

(-1 + 1) = 0

This means that one of the values for m is -1.

(m + 5) = 0

(-5 + 5) = 0

This means that one of the values for m is -5.

Moreover, the value of m by factoring is -1 and -5

Answer:

[tex]\sf m=-1,-5[/tex]

Step-by-step explanation:

[tex]\sf m^2+6m+5=0[/tex]

Factor, m^2+6m+5

Find, the two numbers that add up to 6 and multiply to 5: 1 and 5

Now, Rewrite the expression:

[tex]\sf (m+1)(m+5)[/tex]

[tex]\sf (m+1)(m+5)=0[/tex]

Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.

[tex]\sf m+1=0[/tex]

[tex]\sf m+5=0[/tex]

Now, solve each of the 2 equations:

[tex]\sf m+1=0[/tex]

Subtract 11 from both sides:

[tex]\sf m=-1[/tex]

[tex]\sf m+5=0[/tex]

Subtract 5 from both sides:

[tex]\sf m=-5[/tex]

[tex]\sf m=-1,-5[/tex]

________________________________________

Find x. Please help with this problem!!!!!

Answers

(3x+11)+(5x+1)=180
8x+12=180
8x=168
x=21

If the force is 2500N and the acceleration is 500m/s/s, calculate the mass

Answers

Answer:

5kg

Step-by-step explanation:

Here the given force is 2500N and

acceleration is 500m/s²

Now,

F = ma

m = F/a = 2500/500 = 5kg

Thus, The mass is 5kg

-TheUnknownScientist

what is the domain of f?
HELP PLEASE

Answers

Answer:

-7 to 7

Step-by-step explanation:

it is the range of the x values

insaley easy 4th grade homework math question i will mark brainliest

Answers

Answer:

first answer  20

Second answer 1/2

For the last on I think it’s 1/4

Step-by-step explanation:

Lol Sorry if I’m wrong

Answer:

1. 5 1/4 or 5.25 or 21/4

2. 1/2

3. Im not sure but i think it's 1 1/2 becouse 1 1/2 divided by 2 = 3/4 or 0.75

Step-by-step explanation:

What is 127% of 40????

Answers

Answer:

50.8

Step-by-step explanation:

Maria is saving $470 for a new camera. She currently has $256. If she saves $70 per week, how long will it take her to save at least $500 to cover taxes and extras?

Answers

Answer:

Number of weeks= 3.63 weeks

Step-by-step explanation:

First, we need to determine the total amount to be saved:

Difference= 500 - 256

Difference= $254

Now, the number of weeks given the following formula:

Number of weeks= amount to be saved / savings per week

Number of weeks= 254 / 70

Number of weeks= 3.63 weeks

Noah spent $66 for 20 gallons of gasoline. Lydia spent $81.25 for 25 gallons of gasoline. How much did each person spend for 1 gallon of gasoline?

Answers

Answer:

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $3.25 for 1 gallon of gasoline.

Step-by-step explanation:

To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.

Noah spent $66 for 20 gallons of gasoline.

Amount spent $66, 20 gallons. So

66/20 = $3.3

Noah spent $3.3 for 1 gallon of gasoline.

Lydia spent $81.25 for 25 gallons of gasoline.

Amount spent $81.25, 25 gallons. So

81.25/25 = $3.25

Lydia spent $3.25 for 1 gallon of gasoline.

L Practice & Problem Solving
QU
11.6.PS-15
You want to wrap a gift shaped like the regular triangular prism shown. How many
square inches of wrapping paper do you need to completely cover the prism?

Answers

Answer:

xjxjxjzjzjxxjxjxjxjx

How do I show my work for this and get the answer? Thanksss

Answers

Answer:

the answer for this problem is 135

which is proportion can be used to be determine to length of bc​

Answers

Answer:

4/5=bc/8

Step-by-step explanation:

Probability of rolling a factor of 4 on the first die

Answers

Answer:

should be like 1 out of 6 chances

Step-by-step explanation:

What is the length of point AC

Answers

the length of point AC is 13.67cm

Solve for x. You must show all of your work to receive credit.
V
5x + 17
23x - 5
W
37x + 5

Answers

V
1) 5x+17
5x=-17
x= -3.4
2) 23x-5
23x=5
x= 0.217

W

1) 37x+5
37x=-5
x= -0.135

The graph of f(x) = x2 is shown
Use the parabola tool to graph g(x)
g(x) = (x + 1)2 – 2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola

Answers

Answer:

(1,2) is your vertex and (2,3) is your second point

Step-by-step explanation:

Answer:

(0,-1) and (-1,-2)

Step-by-step explanation:
i got it right on the quiz

Dada la recta r espacio dos puntos espacio fracción numerador x menos 1 entre denominador 1 fin fracción igual fracción numerador y menos 5 entre denominador menos 3 fin fracción, halla una recta s, paralela a r, y una recta t, perpendicular a r, ambas que pasen por el punto A (-3,1).

Answers

Answer:

creo que si

Step-by-step explanation:

primero hacemos lo primero

y luego lo segundo

An electrical engineer has an annual income of $143,482 and will pay a 6% income tax rate. What is the amount of income tax in dollars and cents that the engineer will have to pay?

Answers

Answer:

$8608.92

Step-by-step explanation:

Given data

Annual income= $143,482

Rate= 6%

We want to find 6% of $143,482

=6/100*143482

=0.06*143482

=$8608.92

Hence the income tax is

$8608.92

There are 150 politicians at a meeting.
They each shake hands with everyone
else. How many handshakes were there?

PLEASE HELP ASAP

Answers

Answer:

11175

Step-by-step explanation:

Person 1 will shake hands with 149 othersPerson 2 ... 148 (excluding the first person)Person 2 ... 147 (excluding the first two persons)...Person 149 ... 1  (with person 150)Person 150 ... none (already had 149 handshakes)

Total handshakes:

1 + 2 + ... 149 = 149(1 + 149)/2 = 11175

can someone help me this is a life or death question

Answers

Answer:

3 is vertical angles

1 is same side interior

2 is corresponding angles

4 is straight angles

Step-by-step explanation:

Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the container in shown. Hollis will need 8 of these layers to completely fill the container. What is the volume of the container in cubic feet?

Answers

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

Alex and Dave sell donuts. Alex earns $11 more than Dave. Let x represent the number of donuts Dave sells. Let y represent the total amount of donuts Alex sells. Which equation shows this relationship

Answers

Answer:

y = x + 11

Step-by-step explanation:

x = Number of donuts Dave sells

y = Total amount of donuts Alex sells

Amount earned by Alex = $11 more than Dave's earning

This means y is greater than x by $11

Total amount of donuts Alex sells = Number of donuts Dave sells + $11

y = x + 11

Help me please! I need this done quick!

Answers

Answer:

1. 15

2. 26

3. [tex]\sqrt{58[/tex]

4. 8

5. 6[tex]\sqrt{15[/tex]

6. [tex]\sqrt{2[/tex]

7. [tex]\sqrt{377[/tex]

8. 18

9. x = [tex]\sqrt{106[/tex]

y = [tex]\sqrt{34[/tex]

Step-by-step explanation:

IM TIRED DO I HAVE TO EXPLAIN?

A cable 13 meters long runs from the top of a utility pole to a point on the ground 5 meters from the base of the pole. How tall is the utility pole?

Answers

Answer:

height of the utility pole = 12 meters

Step-by-step explanation:

It is simple application of Pythagoras theorem.

In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.

The applying Pythagoras theorem.

H^2 = P^2 +B^2

⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144

⇒ P = 12 meters

hence, height of the utility pole = 12 meters

What is the correct answer to this

Answers

Answer:

Perimeter = 9700 cm

Step-by-step explanation:

Dimensions of sides are;

12, 2x, 12, 5, 5, circumference of semi circle

Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14

We see that x is the diameter. Thus, x = 14

Thus; base of trapezium that is 2x = 2 × 14 = 28

Also, circumference of semi circle = 2πr = 2π × 7 = 44

Thus;

Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44

Perimeter = 97 m

Converting to cm, we multiply by 100 to get;

Perimeter = 97 × 100 cm

Perimeter = 9700 cm

The wood family consumes 20 bags of milk in 4 weeks.How much milk will the family require for 8 weeks?

Answers

Answer:

4

Step-by-step explanation:

If 20 jugs is in 4 weeks, and 8 weeks is 2 times as much as 4. So you would multiply 20x2 because 8 weeks is 2 times as much as 4

A cone has a volume of 18 in3. Select all of the possible dimensions for the cone.

Diameter 1 in., height 18 in.

Diameter 6 in., height 6 in.

Diameter 3 in., height 6 in.

Diameter 6 in., height 3 in.

Diameter 3 in., height 24 in.

Answers

Answer: with these values I don't find any of cones

Step-by-step explanation: volume is 1/3 x pi x r^2 x h

And radius r = diameter/2. Is you round pi/3 =1 it's easier.

Possible measures: d=2 and h=18

D= 4 and h= 4.5 or d= 6 and h=2

I WILL GIVE BRAINLIEST AND SEND 50 POINTS IF GOOD no copying from internet

What do you know about the angles of a right triangle?

A all angles might be right angles.
B only one angle is a right angle and the other two are acute
C one or more angles must be right angles
D only one angle is a right angle and the other two are obtuse

Answers

Answer:

B

Step-by-step explanation:

Answer:

B only one angle is a right angle and the other two are acute

Step-by-step explanation:

its clear from looking at an angle lol

Find two consecutive odd numbers whose sum is 44.

Answers

Answer:

21 & 23

Hope that helps!

Step-by-step explanation:

3 Yolanda asks a random sample of 50 students at her school what they do after
school. Of the 50 students, 30 say they play a sport. Based on the sample, about
what percent of students at Yolanda's school play a sport after school?
A 15%
B 30%
C 50%
D 60%

Answers

D.60! Just turn the percent into a decimal and multiply by 50, also it would have to be higher than C because 50% is half and half of 50 is 25 so it would have to he higher

A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?

Answers

Answer:

4 months

Step-by-step explanation:

we take $300 ÷$75 which is per month

then we get 4 , which is our months

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