Answer:
2√6 + 1
Step-by-step explanation:
Given expression:
4(x-1)² = 96
Solving by square root;
Square root both sides;
[tex]\sqrt{4(x-1)^{2} }[/tex] = √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
