Question 114061
*[Tex \LARGE (6x-4)^2=40] Start with the given equation




*[Tex \LARGE 6x-4=\pm sqrt{40}] Take the square root of both sides





*[Tex \LARGE 6x-4=\pm 2sqrt{10}] Simplify the square root (note: If you need help with simplifying the square root, check out this <a href=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>)




*[Tex \LARGE 6x=4\pm 2sqrt{10}] Add 4 to both sides 



*[Tex \LARGE x=\frac{4\pm 2sqrt{10}}{6}] Divide both sides by 6 to isolate x.



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Answer:


So our solution is:

*[Tex \LARGE x=\frac{4\pm 2sqrt{10}}{6}]