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. This means that the solutions to the equation can be both positive and negative square roots.

Front

Solve x² = 49

Back

x = 7 or x = -7

Front

What does it mean if an equation has two solutions?

Back

It means that there are two distinct values of x that satisfy the equation.

Front

Solve x² - 16 = 0

Back

x = 4 or x = -4

Front

What is the first step in solving an equation using the Square Root Property?

Back

Isolate the x² term on one side of the equation.

Front

Solve 3(x + 2)² = 75

Back

x = 3 or x = -7

Front

How do you determine the number of solutions for x² = a?

Back

If a > 0, there are 2 solutions; if a = 0, there is 1 solution; if a < 0, there are no real solutions.

Front

Solve x² = 100

Back

x = 10 or x = -10

Front

What is the solution to x² - 9 = 0?

Back

x = 3 or x = -3

Front

Solve 4x² = 64

Back

x = 4 or x = -4