Solution Concept Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Which values are solutions of x2=16x^2 = 16: x=4x = 4, x=โˆ’4x = -4, x=8x = 8?

Solution

  1. 1
    42=164^2 = 16 โœ“, (โˆ’4)2=16(-4)^2 = 16 โœ“, 82=64โ‰ 168^2 = 64 \neq 16 โœ—.
  2. 2
    Solutions: x=4x = 4 and x=โˆ’4x = -4.

Answer

x=4x = 4 and x=โˆ’4x = -4
Test each candidate by substituting into the equation. Only values that make the equation true are solutions.

About Solution Concept

A specific value (or set of values) that makes an equation or inequality true when substituted in for the variable.

Learn more about Solution Concept โ†’

More Solution Concept Examples

Example 1 easy

Is [formula] a solution of [formula]?

Example 2 medium

Find all solutions of [formula].

Example 4 medium

Does the equation [formula] have any solutions?

โ† All Solution Concept Examples Solution Concept Concept