Question

Determine the solution set of (x - 4)2 = 12.

a) {4 + 2√3, 4 - 2√3}
b) {4 - 2√3, 4 - 2√3}
c) {2√3+ 4, 2√3- 4}

Answer 1

square root both sides, then solve for x.

Answer 2

(x - 4)² = 12

x - 4 = ±√12

x = 4 ± √12

x = 4 ± 2√3

x = { 4 + 2√3, 4 - 2√3 }

Answer A