Free Printable Nature of Roots

1.

The discriminant is

a)

A. aX² + bX + c

b)

B. b - 4ac

c)

C. b² - 4ac

d)

D. b² + 4ac

2.

What is the nature of the roots of a quadratic equation if the value of its discriminant is ZERO?

a)

A. The roots are not real

b)

B. The roots are rational and equal

c)

C. The roots are irrational and equal

d)

D. The roots are irrational and not equal

3.

What is the nature of the roots of a quadratic equation if the value of its discriminant is NEGATIVE?

a)

A. The roots are not real

b)

B. The roots are rational and equal

c)

C. The roots are rational and not real

d)

D. The roots are irrational and not equal

4.

If the discriminant is positive, then what should be the solution?

a)

A. one real solution

b)

B. two real solutions

c)

C. no real solutions

d)

D. one imaginary solution

5.

Write this equation $x^2-6=x$ in standard form.

a)

A. x² + 6x=0

b)

B. x² -6x=0

c)

C. x² -x -6 =0

d)

D. x² + x -6 = 0

6.

Given the equation $10x^2-6x=0$ , what is the value of c?

a)

A. 0

b)

B. -6

c)

C. 10

d)

D. x

7.

A function has a discriminant of 25.

How many solutions does it have?

a)

A. 0

b)

B. 1

c)

C. 2

d)

D. 5

8.

What is the discriminant of $-2x^2−\ x\ −\ 1=0$ ?

a)

A. 76

b)

B. -7

c)

C. 9

d)

D. none of these

9.

Solve for the discriminant of the given equation $-2x^2-\ 6x=0$ .

a)

A. -36

b)

B. 36

c)

C. 0

d)

D. 44

10.

Determine the value of the discriminant and the nature of the solution/s for the given equation below.

$x^2+2x-63=0$

a)

A. 256

2 Rational Real Roots

b)

B. √(-256

2 imaginary roots

c)

C. √(137)

2 Irrational Real Roots

d)

D. 123

2 Rational Real Roots

11.

What is the formula in finding the SUM of the roots of a quadratic equation?

a)

A. $-\frac{b}{a}$

b)

B. $\frac{c}{a}$

12.

What are the sum and the product of the roots $3x^2=2x+7$ ?

a)

A. S= 2 and P= 7

b)

B. S= 2/3 and P= 7/3

c)

C. S= 2/3 and P= -7/3

d)

D. S= -3/2 and P= -3/7

13.

What are the sum and the product of the roots $9x^2=25$ ?

a)

A. S= 9 and P= 25

b)

B. S= 25 and P= 9

c)

C. S= 0 and P= -25/9

d)

D. S= -25/9 and P= 0

14.

What are the sum and the product of the roots $15x=3x^2-2$ ?

a)

A. S= 1/5 and P= -2/15

b)

B. S= 5 and P= -2/3

c)

C. S= -2/15 and P= 1/5

d)

D. S= -2/3 and P= 5

15.

Write the quadratic equations whose sum and product of the roots are - 8 and 5.

a)

A.

$x^2\ +8x\ +\ 5\ =\ 0$

b)

B.

$x^2\ -\ 8x\ -\ 5\ =\ 0$

c)

C.

$x^2\ -\ 8x\ +\ 5\ =\ 0$

d)

D. $x^2\ +\ 5x\ -\ 8\ =\ 0$

16.

Determine the quadratic equation where the sum of the roots is 5 and the product of the roots is 6.

a)

A.

$x^2-5x+6$ =0

b)

B.

$x^2+5x-6$ = 0

c)

C.

$-x^2-5x+6$ = 0

d)

D. $-x^2+5x-6$ =0

17.

Find the quadratic equation if the sum of roots is 0 and the product of the roots is $\sqrt[]{5}$ .

a)

A.

$x^2-\sqrt[]{5}$ = 0

b)

B.

$x^2+\sqrt[]{5}$ = 0

c)

C.

$x^2-\sqrt[]{5}x$ = 0

d)

D.

$x^2+\sqrt[]{5}x$ = 0

Nature of Roots

Total questions: 17

Worksheet time: 18mins

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