An algebra problem by Atul Kumar Ashish

Algebra Level 3

x 2 = 5 y = 5 \large \begin{aligned}\sqrt{x^2}&=5\\ \sqrt{y}&=5\end{aligned} The sum of the solutions of the above two equations is

15 15 30 30 5 5 25 25

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1 solution

Stephen Mellor
Oct 18, 2017

x 2 = 5 \sqrt{x^2} = 5 x 2 = 25 x^2 = 25 x = 5 x = 5 or x = 5 x = -5

y = 5 \sqrt{y} = 5 y = 25 y = 25

Therefore: ( 5 ) + ( 5 ) + ( 25 ) = 25 (5) + (-5) + (25) = \boxed{25} .

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