Question

Solve the equation for x^2= 625

Answer 1

Answer:

x = ±25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

• Multiple Roots

Step-by-step explanation:

Step 1: Define

x² = 625

Step 2: Solve for x

1. Square root both sides:                    x = ±25

Step 3: Check

Plug in x into the original equation to verify it's a solution.

x = -25

1. Substitute in x:                    (-25)² = 625
2. Exponents:                          625 = 625

Here we see that 625 does indeed equal 625.

∴ x = -25 is a solution to the equation.

x = 25

1. Substitute in x:                    25² = 625
2. Exponents:                          625 = 625

Here we see that 625 does indeed equal 625.

∴ x = 25 is a solution to the equation.