Question

equation 2 X square + X - 4 by using the method of completing the square quadratic equation and roots​

Answer 1

Step-by-step explanation:

2xsq + x - 4

1/2(2xsq + x - 4)

xsq + x/2 - 4/2 =0

xsq + x/2 - 2 =0

xsq + x/2 = 2

expanding x/2

xsq + 2×1/4×x = 2

adding (1/4)sq on both sides

xsq + 2×1/4×x + (1/4)sq = 2 + (1/4)sq

(x+1/4)sq = 2 + 1/16

(x+1/4)sq = 32+1/16

(x+1/4)sq = 33/16

(x+1/4) = √33/√16

(x+1/4) = + or -√33/4

x = +√33/4 - 1/4 or -√33/4

x = √33-1/4 or -√33-1/4