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skad [1K]
2 years ago
6

Find x if (117 + x)(V17 – x) = 12.

Mathematics
1 answer:
liraira [26]2 years ago
8 0

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

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