How do you solve $(x – 6)^2 = 2$ ?

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Answer 1 · 2016-07-16T16:17:46

$x =7.414 or 4.586$

This is in the form $x^2 = y$ , so we can just find the square root of both sides without having to multiply out first.

$(x - 6)^2 = 2$

$x - 6= +-sqrt2$

$x = +sqrt2 +6 = 7.414$

$x = -sqrt2 +6 = 4.586$

How do you solve (x – 6)^2 = 2(x – 6)^2 = 2?