3.3 Quadratics - Radical Solving

Front

Solve using square roots: 5b² - 4 = 41

Back

b = 3, b = -3

Front

Solve for x: 7x² + 1 = 8

Back

x = ± 1

Front

Solve for x: 3x² - 27 = 0

Back

x = 3, x = -3

Front

Solve for x: -5x² = 50

Back

x = ± i√10

Front

Solve for x: x² = 64

Back

x = 8, x = -8

Front

Definition: Quadratic Equation

Back

An equation of the form ax² + bx + c = 0, where a ≠ 0.

Front

Definition: Square Root Property

Back

If x² = k, then x = ±√k.

Front

Definition: Radical Expression

Back

An expression that includes a square root, cube root, or higher root.

Front

Definition: Discriminant in Quadratics

Back

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

Front

Example of a Quadratic Equation: x² - 5x + 6 = 0

Back

Factored form: (x - 2)(x - 3) = 0, roots: x = 2, x = 3.