Solving Quadratics Review AASupport

Front

Solve by factoring: 2x² - 5x - 12 = 0

Back

x = 4 and x = -3/2

Front

The discriminant is defined as:

Back

b² - 4ac

Front

Solve: n² - 2n = 0

Back

n = 2 and 0

Front

Determine the value of the discriminant for x² + 7x + 13=0

Back

-3

Front

Solve: (x - 2)² = 9

Back

5 or -1

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0

Front

What does the discriminant tell us about the roots of a quadratic equation?

Back

It indicates the nature of the roots: if >0, two real roots; =0, one real root; <0, no real roots.

Front

Solve: x² - 4x - 5 = 0

Back

x = 5 and x = -1

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the axis of symmetry for a quadratic equation?

Back

x = -b/(2a) for the equation ax² + bx + c.