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Algebra Level 2

Find the sum of the real roots of: e x = x 2 e^{x}=-x^2

0 e 1

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1 solution

As we know, e x > 0 e^{x}>0 , also x 2 0 -x^2 \leq 0 so there is no real root to the equation. So the sum of the real roots is an Empty Sum

Thanks, I learned something new.

Chew-Seong Cheong - 4 years, 5 months ago

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