How do you solve #|x ^ { 2} - 2x | = 35#?

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Answer 1 · 2018-06-22T17:13:32

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The modulus function turns anything positive, to positive, and negative, to there positive counterpart

so #|x^2 -2x | = |-x^2 +2x| #

#=> x^2 - 2x = 35#

#=> -x^2 +2x = 35 #

First equation gives: #x = { 7, -5}#

Second equation gives: #"discriminant" < 0 -> "no solution" #

Hence #color(red)(x = {7,-5} #