Find x if (117 + x) (V17 - x) = 12.

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