Question

Using the square root property: How would I solve this equation- (2x-3) Squared =18

Answer 1

`(2x-3)^2=18\\ 2x-3=√(18) \vee 2x-3=-√(18)\\ 2x=3+3√(2) \vee 2x=3-3√(2)\\ x=(3+3√(2))/(2) \vee x=(3-3√(2))/(2)\\`

Answer 2

`(2x-3)^2=18\ \ \ \ | make\ \sqrt{}\\\\ |2x-3|=√(18)\\\\ 2x-3=√(18)\ \ \ or\ \ \ -2x+3=√(18)\\\\ 2x=√(18)+3\ \ \ \ or\ \ \ \ -2x=√(18)-3\\\\ x=(√(9*2)+3)/(2)\ \ \ or\ \ \ \ x=(√(9*2)-3)/(-2)\\\\ x=(3√(2)+3)/(2)\ \ \ or\ \ \ \ x=(-3√(2)+3)/(2)`