SOLUTION: what is the solution for (4x-9)^2=6?

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Question 627785: what is the solution for (4x-9)^2=6?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284x-9%29%5E2=6 Start with the given equation.


4x-9=%22%22%2B-sqrt%286%29 Take the square root of both sides.


4x-9=sqrt%286%29 or 4x-9=-sqrt%286%29 Break up the "plus/minus" to form two equations.


4x=9%2Bsqrt%286%29 or 4x=9-sqrt%286%29 Add 9 to both sides.


x=%289%2Bsqrt%286%29%29%2F4 or x=%289-sqrt%286%29%29%2F4 Divide both sides by 4.


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Answer:


So the solutions are x=%289%2Bsqrt%286%29%29%2F4 or x=%289-sqrt%286%29%29%2F4.

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