Answer: x = ±√145
Step-by-step explanation:
√(17 + x) × √(17 - x) = 12
√(17 + x) (17 - x) = 12
Squaring both sides,
(√(17 + x) (17 - x))^2 = 12^2
(17 + x) (17 - x) = 144
17(17 - x) + x(17 - x) = 144
289 - 17x + 17x - x^2 = 144
x^2 = 289 - 144
x^2 = 145
x = ±√145
