Question 104072
*[Tex \LARGE 5(x-3)^2=3] Start with the given equation





{{{(x-3)^2=3/5}}} Divide both sides by 5




*[Tex \LARGE x-3=\pm sqrt{\frac{3}{5}}] Take the square root of both sides




*[Tex \LARGE x=3\pm sqrt{\frac{3}{5}}] Add 3 to both sides to isolate x.




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Answer:


So our solution is:

*[Tex \LARGE x=3\pm sqrt{\frac{3}{5}}]



This means our solution breaks down to:


*[Tex \LARGE x=3+sqrt{\frac{3}{5}}]


or


*[Tex \LARGE x=3-sqrt{\frac{3}{5}}]