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Quadratic equations k

Total questions: 13

Worksheet time: 24mins

Name
Class
Date
1.

Solve the equation by factoring.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

2.

x - 12 = -x2 is an example of quadratic equation.

a)

True

b)

False

3.

If one root of the equation 2x2 +ax +6 =0 is 2 then a = _______

a)

7

b)

-7

c)

72\frac{7}{2}

d)

−72\frac{-7}{2}

4.

Solve the following quadratic equation...


x2 + 9x + 20 = 0

a)

x = -2

x = -10

b)

x = -5

x = -4

c)

x = -1

x = -20

d)

x = 4

x = 5

5.

If the discriminant is __________ then roots are rational.

a)

perfect square

b)

perfect cube

c)

both (1) and (2)

d)

none of these

6.

2. If 1/2 is a root of the equation x2 + kx – (5/4) = 0 then the value of k is

a)

2

b)

-2

c)

3

d)

-3

7.

What are the values of a, b, and c in the quadratic equation 3x2 - 10 = -4x

a)

a = 3x2 b = -10 c = -4x

b)

a = 3 b = -10 c = -4

c)

a = 3 b = -4 c = -10

d)

a = 3 b = 4 c = -10

8.

The difference of squares of two numbers is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.

4 lines
9.

Sum of the areas of two squares is 400 𝑐𝑚2.If the difference of their perimeters is 16 𝑐𝑚, find the sides of the two squares.

4 lines
10.

Find the roots of the following quadratic equation :2√3𝑥^2 − 5𝑥 + √3 = 0

4 lines
11.

If the sum of two natural numbers is 8 and their product is 15, find the numbers.

4 lines
12.

To get imaginary roots,  Δ\Delta  =

a)

0

b)

1

c)

<0

d)

>0

13.

For what value of 𝑘 the quadratic equation 𝑥^2 − 𝑘𝑥 + 4 = 0 has equal roots?

4 lines