How do you solve $(x - 5)^2 = 2$ ?

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Answer 1 · 2017-04-28T12:30:52

$x = sqrt(2) + 5$

To isolate the $x$ , we need to take the square root of both sides to get rid of the power.

$(x-5)^2 = 2$

$sqrt((x-5)^2) = sqrt(2)$

The square root and power on the left term cancel out, leaving us with:

$x-5 = sqrt(2)$

To finish isolating the x, add $5$ to both sides.

$x cancel(-5+5) = sqrt(2) + 5$

Final answer:

$x = sqrt(2) + 5$

How do you solve (x - 5)^2 = 2(x - 5)^2 = 2?