Solve Quadratics Review

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

Solve by factoring: x² + 3x = 10

Back

{ -5, 2 }

Front

Factor the expression: x² – 5x – 24

Back

(x - 8)(x + 3)

Front

What does a positive discriminant indicate about the number of solutions?

Back

2 solutions.

Front

Use the quadratic formula to solve: 2x² - 5x - 7 = 0

Back

{7/2, -1}

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Define the discriminant in a quadratic equation.

Back

The discriminant is b² - 4ac, which determines the nature of the roots.

Front

What does a discriminant of zero indicate?

Back

1 solution (a repeated root).

Front

What is the factored form of x² - 9?

Back

(x - 3)(x + 3)

Front

How do you complete the square for x² + 6x?

Back

Add (6/2)² = 9 to both sides to get (x + 3)².