Question 638713

sqrt(x)+sqrt(x-20)=10


{{{sqrt(x) + sqrt(x - 20) = 10}}}


{{{sqrt(x - 20) = 10 - sqrt(x)}}}


{{{(sqrt(x - 20))^2 = (10 - sqrt(x))^2}}} ----- Squaring both sides of equation


{{{x - 20 = 100 - 20(sqrt(x)) + (sqrt(x))^2}}}


{{{x - 20 = 100 - 20(sqrt(x)) + x}}}


{{{20(sqrt(x)) = x + 100 - x + 20}}}


{{{20(sqrt(x)) = 120}}}


{{{sqrt(x) = 120/20}}}


{{{sqrt(x) = 6}}}


{{{(sqrt(x))^2 = 6^2}}} ---- Squaring both sides of equation


{{{highlight_green(x = 36)}}}


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