SOLUTION: use square root property to solve equation (3x-4)^2=18

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Question 633281: use square root property to solve equation

(3x-4)^2=18
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283x-4%29%5E2=18 Start with the given equation.


3x-4=%22%22%2B-sqrt%2818%29 Take the square root of both sides.


3x-4=sqrt%2818%29 or 3x-4=-sqrt%2818%29 Break up the "plus/minus" to form two equations.


3x-4=3%2Asqrt%282%29 or 3x-4=-3%2Asqrt%282%29 Simplify the square root.


3x=4%2B3%2Asqrt%282%29 or 3x=4-3%2Asqrt%282%29 Add 4 to both sides.


x=%284%2B3%2Asqrt%282%29%29%2F3 or x=%284-3%2Asqrt%282%29%29%2F3 Divide both sides by 3 to completely isolate x.

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Answer:


So the solutions are x=%284%2B3%2Asqrt%282%29%29%2F3 or x=%284-3%2Asqrt%282%29%29%2F3.

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