SOLUTION: (x+7)^2=81

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Question 128744: (x+7)^2=81
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Start with the given equation

Take the square root of both sides

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Subtract 7 from both sides to isolate x.

Break down the expression into two parts:

or

Now combine like terms for each expression:

or

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Answer:
So our solution is

or

Notice when we graph the equations and we get:

graph of (red) and (green)

Here we can see that the two equations intersect at x values of and , so this verifies our answer.