Question

Finds the root of 4xsq+3x+5=0 by tge method of conpleting square.

Answer 1

4x2 -root3 x -5 =0

x2 - root3/4 x -5/4

x2 - root3/4 x +(root3/8)2 - (root3/8)2 -5/4

(x - root3/8)2 - 3/64 - 80/64

(x-root3/8)2 - 83/64

(x-root3/8)2 - (root83 /8)2

(x-root3/8 +root83/8) (x-root3/8-root83/8)

=> x = root3 -root83 / 8 and x = root3+root83 /8