Question #d8338

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Answer 1 · 2017-03-23T17:56:07

$x=+-(5sqrt2)/2.$

$(50-4x^2)/sqrt(25-x^2)=0.$

Cross multiplying, $50-4x^2=0$

$:. (5sqrt2)^2-(2x)^2=0.$

$:. (5sqrt2+2x)(5sqrt2-2x)=0.$

$:. 2x=+-5sqrt2.$

$:. x=+-(5sqrt2)/2.$

These roots satisfy the given eqn.

Hence, the soln.