How do you solve (x-7)^2=10?

1 Answer
Gió
May 27, 2017

I got:
x_1=7+sqrt(10)
and
x_2=7-sqrt(10)

Explanation:

We could take the square root of both sides remembering that, for example, 4 can be obtained squaring either 2 or -2 so we need to include these two possibilities:

sqrt((x-7)^2)=+-sqrt(10)

x-7=+-sqrt(10)

so that we get:

x=7+-sqrt(10)

i.e. two solutions:

x_1=7+sqrt(10)

and

x_2=7-sqrt(10)

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