Solving Using Square Roots

Front

Solve (x-5)² = 25

Back

x = 10, x = 0

Front

Solve 7x² + 1 = 8

Back

x = ±1

Front

Solve -5x² = -50

Back

x = ±√10

Front

Solve 3(x+3)² = 27

Back

x = 0, x = -6

Front

Solve x² = 25

Back

x = 5, x = -5

Front

Definition: Square Root

Back

A number that produces a specified quantity when multiplied by itself.

Front

Property: If a² = b, then a = ±√b

Back

This property shows that square roots can yield both positive and negative solutions.

Front

Example: Solve x² = 16

Back

x = 4, x = -4

Front

Definition: Completing the Square

Back

A method used to solve quadratic equations by rewriting them in the form (x - p)² = q.

Front

Example: Solve x² - 6x + 9 = 0

Back

x = 3 (perfect square)