Free Printable Nature of the Roots

1.

Given the equation x²+ 5x + 4 = 0, find the value of b²- 4ac.

a)

12

b)

8

c)

9

d)

25

2.

What is the value of the discriminant of the equation 2x²+x - 21= 0?

a)

169

b)

89

c)

49

d)

25

3.

If b²- 4ac is equal to 0, how many solutions are there?

a)

2

b)

3

c)

1

d)

0

4.

If the discriminant is a perfect square, the nature of the roots is:

a)

Rational and unequal

b)

Real and equal

c)

Irrational and unequal

d)

Imaginary

5.

What is the nature of the roots of the equation x²-2x - 2 = 0?

a)

Imaginary

b)

Irrational and unequal

c)

Real and equal

d)

Rational and unequal

6.

Find the value of the discriminant of the equation x²-2x - 2 = 0?

a)

40

b)

30

c)

20

d)

10

7.

What is the value of the discriminant of the equation 9x²+16 = 0?

a)

669

b)

576

c)

-265

d)

-576

8.

If the value of the discriminant is 64, how many solutions does it have?

a)

2

b)

1

c)

0

d)

3

9.

Describe the roots if the value of the discriminant is equal to negative.

a)

Rational and unequal

b)

Real and equal

c)

Irrational and unequal

d)

imaginary

10.

Describe the roots if the the discriminant is equal to 40

a)

Rational and unequal

b)

Real and equal

c)

Irrational and unequal

d)

imaginary

11.

What is the formula in finding the sum of the roots of the given quadratic equation

a)

$\frac{-b}{a}$

b)

$\frac{b}{a}$

c)

$\frac{c}{a}$

d)

$\frac{-c}{a}$

12.

What is the formula in finding the product of the roots of the given quadratic equation

a)

$\frac{-b}{a}$

b)

$\frac{b}{a}$

c)

$\frac{c}{a}$

d)

$\frac{-c}{a}$

13.

If the given roots are -3 and 1, Find the sum of the roots.

a)

$-2$

b)

$4$

c)

-3

d)

-4

14.

Find the equation if the sum of the roots is 6 and the product is 8

a)

$x^2-6x\ +8\ =0$

b)

$x^2+6x\ -8\ =\ 0$

c)

$x^2-4x+\ 8\ =\ 0$

d)

$x^2+4x+8\ =\ 0$

15.

Find the sum and the product of the roots of the quadratic equation $x^2-6x\ -\ 27\ =\ 0$ .

a)

6 and 27

b)

-6 and -27

c)

6 and -27

d)

-6 and 27

Nature of the Roots

Total questions: 15

Worksheet time: 13mins

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