Solving Equations by Square Root Property

Front

What is the Square Root Property?

Back

The Square Root Property states that if x^2 = a, then x = ±√a.

Front

Solve (x - 1)² = 64

Back

x = 9 or x = -7

Front

Solve (x + 4)² = 1

Back

x = -5 or x = -3

Front

Solve 2(x + 1)² = 32

Back

x = 3 or x = -5

Front

What are the x-intercepts of y = x² - 4?

Back

(2, 0) and (-2, 0)

Front

Solve x² - 1 = 0

Back

x = 1 or x = -1

Front

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

Back

It means isolating the variable and applying the square root to both sides of the equation.

Front

If x² = 25, what are the possible values of x?

Back

x = 5 or x = -5

Front

What is the first step in solving (x + 3)² = 16?

Back

Take the square root of both sides: x + 3 = ±4.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.