Solve the following algebraic equation: $|2x^2-x|=2x^2-x+8$ ?

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Answer 1 · 2016-06-20T12:33:56

$x =1/4 (1 pm i sqrt[31])$

Making $y = 2x^2-x$ we have

$abs y - y = 8$

with solution $y = -4$

Now following with

$y = 2x^2-x = -4$

we have the solutions

$x =1/4 (1 pm i sqrt[31])$

Solve the following algebraic equation: |2x^2-x|=2x^2-x+8|2x^2-x|=2x^2-x+8?