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=
`(2+/- √(10) )/(y)`

x=
`(2+ √(10) )/(y)` or
`(2- √(10) )/(y)`

aprox
x=1.03246 or -0.232456