Example 13. Solve: 3x+-53x-9x5 – InterviewSolution

1.

Example 13. Solve: 3x+-53x-9x5

Answer»

3x + sqrt(9x^2 - 5) = 5(3x - sqrt(9x^2 - 5))

15x - 3x = 6 sqrt(9x^2 - 5) - sqrt(9x^2 - 5)

12x = 6 sqrt(9x^2 - 5)

2x = sqrt(9x^2 - 5)

Squaring both sides, we get4x^2 = 9x^2 - 55x^2 - 5 = 05(x^2 - 1) = 0(x + 1)(x - 1) = 0x = 1, - 1

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