Solving Equations by Square Root Property

Front

What is the Square Root Property?

Back

The Square Root Property states that if x² = a, then x = ±√a.

Front

Solve: x² = 36

Back

x = 6 or x = -6

Front

What are the x-intercepts of the equation y = x² - 9?

Back

(3, 0) and (-3, 0)

Front

Solve: (x - 4)² = 16

Back

x = 8 or x = 0

Front

How many solutions does x² = 49 have?

Back

2

Front

What does it mean to solve an equation by taking the square root?

Back

It means to isolate the variable and apply the square root to both sides of the equation.

Front

Solve: 2(x + 1)² = 32

Back

x = 3 or x = -5

Front

What is the first step in solving x² = 81?

Back

Take the square root of both sides.

Front

Solve: (x + 3)² = 25

Back

x = 2 or x = -8

Front

What is the relationship between the solutions of x² = a and the graph of y = x²?

Back

The solutions represent the x-intercepts of the graph.