Solve for x where f(x)+ f(-x)=0

Algebra Level 2

If f(x) = x^2 + x -16 then write the answer as the sum of.all |x| which satisfies the equation f(x) + f(-x) = 0.


The answer is 8.

Srinivasa Gopal by Srinivasa Gopal , 53, India

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2 solutions

Alekhya China
Jul 30, 2018

f(x) +f(-x) = 2(x^2-16) hence x=4,-4 sum of mod 4+ mod -4 =8

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Srinivasa Gopal
Jul 29, 2018

f(x) + f(-x) = 2 x x -32 = 0 yields x = +/- 4. Sum of all mod(x) that satisfies the above equation is 8.

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