Question

(x−7)2−25=0 smaller x = larger x =

Answer 1

Remark

Are you sure you don't mean that (x - 7) is squared? The way you have written it indicates that it is squared. I'll treat it that way and you can leave a not if I am wrong.

Solution

(x - 7)^2 - 25 = 0                 Add 25 to both sides

(x - 7)^2 - 25 + 25 = 25      Combine the left

(x - 7)^2 = 25                       Take the square root of both sides.

sqrt(x - 7)^2 = sqrt(25)

x - 7 = +/-   5                        Add 7 to both sides

x = 7 +/- 5

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x1 = 7 + 5

x1 = 12

x2 = 7 - 5

x2 = 2

Smallest x = 2

Largest x = 12