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Given (x – 7)^2 = 36, select the values of x.

2 Answers

5 votes
(x-7)² = 36

The square root of both is √(x-7)² =√6²

x-7 = + or - 6


x-7 = 6 , then x = 13

x-7 = -6, then x = 1


So the values of x are 13 or 1
User Ryan Schumacher
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2 votes

Answer:


x=1\text{ or }x=13

Explanation:

We have been given an equation
(x-7)^2=36. We are asked to solve the given equation for x.

To solve our given equation, we will take square root of both sides of equation.


x-7=\pm√(36)


x-7=\pm√(6^2)


x-7=\pm 6


x-7=-6\text{ or }x-7=6


x-7+7=-6+7\text{ or }x-7+7=6+7


x=1\text{ or }x=13

Therefore, the solution for our given equation are
x=1\text{ or }x=13.

User Mvl
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