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

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