Core Mathematics

Question 1

1If b² − 4ac < 0, the equation has

Medium

A. two equal roots B. no real roots C. one negative root only D. two distinct real roots

Question 2

2Find the quadratic equation whose roots are 5 and 4.

Medium

A. x² + 9x + 20 = 0 B. x² − 9x + 20 = 0 C. x² + 20x − 9 = 0 D. x² − 9x − 20 = 0

Question 3

3Find the quadratic equation whose roots are −4 and 5.

Medium

A. x² − x + 20 = 0 B. x² − 20x − 1 = 0 C. x² + x − 20 = 0 D. x² − x − 20 = 0

Question 4

4Find the sum of the roots of x² − 4x − 12 = 0.

Medium

A. 12 B. −12 C. 4 D. −4

Question 5

5The roots of x² − 9 = 0 are

Easy

A. x = 3 only B. x = 9 C. x = 81 D. x = 3 or x = −3

Question 6

6The product of the roots of ax² + bx + c = 0 is

Hard

A. c/a B. b/a C. −b/a D. a/c

Question 7

7The discriminant of ax² + bx + c = 0 is

Medium

A. 2a B. −b/2a C. b² + 4ac D. b² − 4ac

Question 8

8Find the sum of the roots of x² − 7x + 10 = 0.

Medium

A. −10 B. 10 C. 7 D. −7

Question 9

9Solve x² − 2x − 3 = 0.

Medium

A. x = 0 or x = 2 B. x = 1 or x = −3 C. x = −2 or x = −3 D. x = −1 or x = 3

Question 10

10Find the sum of the roots of x² + 2x − 3 = 0.

Medium

A. 3 B. 2 C. −3 D. −2