Solve by completing the square.

Question

1. 2x^2=5x+12
2. 5x^2+10x-7=0

Answer 1

x^2 - (5/2)x = 6

x^2 - (5/2) x + 25/16 = 96/16 + 25/16

(x-5/4)^2 = 121/16

x-5/4 = +/- 11/4

x = (1/4)( 5 +/- 11)