Solving Quadratics

Front

Solve the quadratic equation: a^2 + 2a - 24 = 0

Back

a = -6, 4

Front

Find the expression equivalent to (x-1)(x-9)

Back

x^2 - 10x + 9

Front

Determine the values of a, b, and c for the quadratic equation: 4x^2 - 8x = 3

Back

a = 4, b = -8, c = -3

Front

Convert x^2 - 9x + 20 to factored form and solve.

Back

(x-4)(x-5); x=4, 5

Front

When factoring x^2 - 4x + 4 = 20, what goes in the blank? (x - __ )^2 = 20

Back

2

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c, where a ≠ 0.

Front

What is the quadratic formula used to solve ax^2 + bx + c = 0?

Back

x = (-b ± √(b^2 - 4ac)) / (2a)

Front

What does the discriminant (b^2 - 4ac) tell us about the roots of a quadratic equation?

Back

If > 0: two real roots; = 0: one real root; < 0: no real roots.

Front

How do you factor a perfect square trinomial?

Back

a^2 - 2ab + b^2 = (a - b)^2.

Front

What is the vertex form of a quadratic function?

Back

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