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.