Solving Quadratics by using the Quadratic Formula

Front

What is the Quadratic Formula?

Back

x = -b ± √(b² - 4ac) / 2a

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0

Front

Identify the values of a, b, and c in the equation: 2x² + 3x - 5 = 0.

Back

a = 2, b = 3, c = -5

Front

Solve using the Quadratic Formula: x² - 4x - 5 = 0

Back

x = 5 and x = -1

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

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

Front

Solve using the Quadratic Formula: x² + 6x + 8 = 0

Back

x = -2 and x = -4

Front

What is the vertex form of a quadratic equation?

Back

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

Front

Solve using the Quadratic Formula: 3x² - 12x + 9 = 0

Back

x = 3 (double root)

Front

What is the axis of symmetry for a quadratic equation?

Back

x = -b / (2a) is the line of symmetry.

Front

Solve using the Quadratic Formula: x² + 2x + 1 = 0

Back

x = -1 (double root)