Question

X^2=60 what is the value of x ?

Answer 1

x = ±2√15

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Multiple roots/solutions

Explanation:

Step 1: Define

x² = 60

Step 2: Solve for x

1. Square root both sides: x = ±√60
2. Simplify: x = ±2√15

Step 3: Check

Plug in both solutions of x to verify it's a solution.

x = 2√15

1. Substitute: (2√15)² = 60
2. Evaluate: 4 · 15 = 60
3. Multiply: 60 = 60

x = -2√15

1. Substitute: (-2√15)² = 60
2. Evaluate: 4 · 15 = 60
3. Multiply: 60 = 60

Here we see that both solutions do indeed work.

∴ x = ±2√15 are both solutions to the equation.