2x^2+13×-24=0
Completing the square method
\(2x^2+13x-24=0\\ x^2+6.5x-12=0\\ x^2+6.5x=12\\ x^2+6.5x+(\frac{6.5}{2})^2=12+(\frac{6.5}{2})^2\\ x^2+6.5x+3.25^2=12+10.5625\\ (x+3.25)^2=22.5625\\ x+3.25=\pm\sqrt{22.5625}\\ x=-3.25\pm4.75\\ x=1.5 \qquad or \qquad x=-8 \)