Solving Quadratic Equations Study Guide

• ±81
• ±9
• ±3
• No real solution

What is the discriminant?

• b²-4ac

• b²/2a

• 4ac

• b²±4ac

If the discriminant equals 0, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solution

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solutions

If the discriminant is positive, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solution

Convert x²+6x+9 to factored form and identify the solution.

• (x+3)(x+3); x=-3

• (x+4)(x+5); x=-4, -5

• (x-3)(x-3); x=3

• Not factorable

Factor x²-6x-40

• (x-10)(x+4)

• (x+10)(x-4)

• (x-8)(x+5)

• (x+8)(x-5)

ax²+bx+c=0  is the standard form of a quadratic equation.

• True

• False

The quadratic equation can be used to solve quadratic equations that cannot be factored.

• True

• False

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3