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Solve [√ $(x + 5)$ + √ $(x - 5)$ ] ÷ [√ $(x + 5)$ − √ $(x - 5)$ ] = 3.

Competition practiceAlgebra

A25/3
B5
C20/3
D10

Step-by-Step Solution

Componendo–dividendo: √

(x + 5)

/√

(x - 5) = (3 + 1) / (3 - 1) = 2

. Squaring,

x + 5 = 4 (x - 5)

, so

3 x = 25

and

x = 25/3

.

Answer: A) 25/3

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