Quadratic Equations

Question 1

Solve by factoring: x² - 7x + 12 = 0

A x = 3, 4

B x = -3, -4

C x = 2, 6

D x = -2, -6

Explanation

Find two numbers that multiply to 12 and add to -7

Question 2

What is the quadratic formula?

A x = [-b ± √(b² - 4ac)] / 2a

B x = [b ± √(b² - 4ac)] / 2a

C x = [-b ± √(b² + 4ac)] / 2a

D x = [b ± √(b² + 4ac)] / 2a

Explanation

The quadratic formula solves any quadratic equation ax² + bx + c = 0

Question 3

Complete the square for: x² + 6x + 5 = 0

A (x + 3)² = 4

B (x + 3)² = 9

C (x + 6)² = 31

D (x + 3)² = 14

Explanation

Take half of the x-coefficient, square it, and add to both sides

Question 4

How many real solutions does x² + 4 = 0 have?

A 0

B 1

C 2

D Infinite

Explanation

The discriminant b² - 4ac is negative, so no real solutions

Question 5

Solve using quadratic formula: 2x² - 4x - 6 = 0

A x = 3, -1

B x = -3, 1

C x = 6, -2

D x = 2, -3

Explanation

Identify a=2, b=-4, c=-6 and substitute into quadratic formula

Question 1

Explanation

Question 2

Explanation

Question 3

Explanation

Question 4

Explanation

Question 5

Explanation

Test Results

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