Question 117605

*[Tex \LARGE (10x+9)^2=112] Start with the given equation




*[Tex \LARGE 10x+9=\pm sqrt{112}] Take the square root of both sides





*[Tex \LARGE 10x+9=\pm 4sqrt{7}] 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 10x=-9\pm 4sqrt{7}] Subtract 9 from both sides



*[Tex \LARGE x=\frac{-9\pm 4sqrt{7}}{10}] Divide both sides by 10 to isolate x.




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Answer:


So our solution is:


*[Tex \LARGE x=\frac{-9\pm 4sqrt{7}}{10}]


This means our solution breaks down to:


*[Tex \LARGE x=\frac{-9+ 4sqrt{7}}{10}]


or


*[Tex \LARGE x=\frac{-9- 4sqrt{7}}{10}]