Question

Solve by finding square roots
4 (x-1)^2=96

Answer 1

2√6 + 1

Explanation:

Given expression:

4(x-1)² = 96

Solving by square root;

Square root both sides;

`\sqrt{4(x-1)^(2) }` = √96

√4(x-1)² = √6x16

√4(x-1)² = 4√6

2(x-1) = 4√6

Divide both sides by 2;

x-1 = 2√6

Add 1 to both sides;

x = 2√6 + 1