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]) #