Question

Solve by completing the square method -2x^2+3x+2=0

Answer 1

I hope it helps you....

Answer 2

Answer:

x = 1/2 or x= -7/4

Step-by-step explanation

$-2x^{2} +3x+2\\=x^{2} - \frac{3}{2}x = \frac{-2}{-2}= 1\\= x^{2} - 2(\frac{3}{4})x=1\\=x^{2} - 2(\frac{3}{4})x+\frac{3}{4} ^{2} = \frac{3}{4} ^2+1\\\\= (x+\frac{3}{4}) ^{2} = \frac{9}{16} +\frac{16}{16}= \frac{9+16}{16}=\frac{25}{16}\\= x+\frac{3}{4} = \sqrt{\frac{25}{16} } = + or -\frac{5}{4}\\\\x = \frac{5}{4} -\frac{3}{4}= \frac{1}{2}\\or\\x= -\frac{5}{4} - \frac{3}{4} = -\frac{7}{4}$