SOLUTION: Solve by using square root property: (8x-3)^2=25

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Question 226557: Solve by using square root property:
(8x-3)^2=25
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%288x-3%29%5E2=25 Start with the given equation.


8x-3=%22%22%2B-sqrt%2825%29 Take the square root of both sides.


8x-3=sqrt%2825%29 or 8x-3=-sqrt%2825%29 Break up the "plus/minus" to form two equations.


8x-3=5 or 8x-3=-5 Take the square root of 25 to get 5.


8x=3%2B5 or 8x=3-5 Add 3 to both sides.


8x=8 or 8x=-2 Combine like terms.


x=1 or x=-1%2F4 Divide both sides by 8 to isolate x.


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Answer:


So the solutions are x=1 or x=-1%2F4.