Question

Find roots of following equation
1/X+3 -1/X+8=11/33

Answer 1

Answer:

1/X -1/(X+8)=11/33-3

TAKING LCM

X+8-X/X²+8X =1/3-3

THEN 8/X²+8X = 8/3

CROSS MULTIPLYING IT

X²+8X=3

THEN

BY USING COMPLETING THE SQUARE METHOD

X²+2x4xX=3

THEN

X²+8X+16=3+16

(X+4)²=19

SO

X+4=±√19

IF X=-(√19+4)

AND X=√19-4