Question

What is the solution to the following equation? (5x-2)^2=10

Answer 1

Take the square root of both sides to get rid of parenthasees, remember to get the positive and negative root
5x-2=+/-√10
add 2 to both sides
5x=2+/-√10
divide by 5
x=$\frac{2+/- \sqrt{10} }{y}$

x= $\frac{2+ \sqrt{10} }{y}$ or $\frac{2- \sqrt{10} }{y}$

aprox
x=1.03246 or -0.232456