Question

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

Answer 1

$(2x-3)^2=18\ \ \ \ | make\ \sqrt{}\\\\ |2x-3|=\sqrt{18}\\\\ 2x-3=\sqrt{18}\ \ \ or\ \ \ -2x+3=\sqrt{18}\\\\ 2x=\sqrt{18}+3\ \ \ \ or\ \ \ \ -2x=\sqrt{18}-3\\\\ x=\frac{\sqrt{9*2}+3}{2}\ \ \ or\ \ \ \ x=\frac{\sqrt{9*2}-3}{-2}\\\\ x=\frac{3\sqrt{2}+3}{2}\ \ \ or\ \ \ \ x=\frac{-3\sqrt{2}+3}{2}$

Answer 2

$(2x-3)^2=18\\ 2x-3=\sqrt{18} \vee 2x-3=-\sqrt{18}\\ 2x=3+3\sqrt{2} \vee 2x=3-3\sqrt{2}\\ x=\frac{3+3\sqrt{2}}{2} \vee x=\frac{3-3\sqrt{2}}{2}$