Solving Quadratics

Front

Solve the quadratic equation: 4m² - 100 = 0

Back

m = 5, -5

Front

What do you do to the b value to correctly complete the square?

Back

Divide it by 2 and square the result.

Front

Solve the quadratic equation: 3x² - 192 = 0

Back

x = -8 or 8

Front

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

Back

x² - 10x + 9

Front

Solve the quadratic equation by completing the square: x² + 2x - 5 = 0

Back

x = -1 ± √6

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a ≠ 0.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant tell you about 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

How do you factor a quadratic equation in the form ax² + bx + c?

Back

Find two numbers that multiply to ac and add to b.

Front

What is the vertex form of a quadratic equation?

Back

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