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Find the value of X if frac sqrt 2 x sqrt 2 fra... - JAMB Mathematics 1999 Question

Find the value of X if \(\frac{\sqrt{2}}{x+\sqrt{2}}=\frac{1}{x-\sqrt{2}}\)
A
3√2+4
B
3√2-4
C
3-2√2
D
4+2√2
correct option: a
Start your solution by cross-multiplying, then collect like terms and factorize accordingly to get the unknown.
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