Solve the given quadratic equation by completing the square.

$x^2+3x-5=0$

• A. $x=-\frac32,x=\frac52$
• B. $x=-\frac32,x=\sqrt{29}$
• C. $x=\frac{-3+\sqrt{29}}{2},x=\frac{-3-\sqrt{29}}{2}$
• D. $x=\frac{3+\sqrt{29}}{2},x=\frac{3-\sqrt{29}}{2}$