SOLUTION: (2x-3)^2=25

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Question 130869: (2x-3)^2=25
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

Take the square root of 25 to get 5

Add 3 to both sides.

Break down the expression into two parts:

or

Now combine like terms for each expression:

or

Divide both sides by 2 to isolate x

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.