Question

2-3x-2x^2=0
solve by completing the square​

Answer 1

Divide through by -2

-2/-2 x^2 - 3/-2 x +2/-2 = 0/-2

Which gives

X^2 + 3/2 x -1 =0

X^2 + 3/2 x =1

(3/2 * 1/2)^2 = 9/16

Add to both sides

X^2 +3/2 x +9/16 = 1 + 9/16

(X +3/4)^2 = 25/16

Square root both sides

X + 3/4 = +- root(25/16)

Simplify

X + 3/4 = +- 5/4

X=-3/4 +- 5/4

Therefore

X = -3/4 + 5/4

Or

X = -3/4 - 5/4

Which becomes

X=-2 or x=0.5

Hope this helps