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

x = ±2√15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Multiple roots/solutions

Step-by-step explanation:

Step 1: Define

x² = 60

Step 2: Solve for x

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

Step 3: Check

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

x = 2√15

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

x = -2√15

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

Here we see that both solutions do indeed work.

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