QQuestion

If x + √(x² – 9) = 9 then find the value of x – √(x² – 9).

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Accepted Answer

x + √(x² – 9) = 9

or, 9 – x = √(x² – 9)

squaring both sides

(9 – x)² = {√(x² – 9)}²

or, 81 – 18x + x² = x² – 9

or, 81 – 18x = – 9

or, 18x = 90

or, x = 5

Now, x – √(x² – 9) = 5 – √(5² – 9)

= 5 – √16

= 5 – 4 = 1