Math, asked by asif786, 1 year ago

find value of x:
x+4/x+5-x/x+1=1/8

Answers

Answered by Aayushi99
1
x+4/x+5-x/x+1=1/8 8(x²+x+4x+4-x²-5x²)=x²+x+5x+5 32=x²+6x+5 27=x²+6x x²+6x-27=0 x²+9x-3x-27=0 (x-3)(x+9)=0 x=3/x=-9 ...Ans
Answered by Anonymous
1
x+4/x+5-x/x+1=1/8
⇒by taking x²+6x+5 as l.c.m or (x+5)(x+1)
⇒x²+5x+4-x²-5x/x²+6x+5=1/8
⇒4/x²+6x+5=1/8
⇒32=x²+6x+5
⇒x²+6x+5-32=0
after solving x²+6x-27=0
⇒(x+9)(x-3)=0
x=-9 or 3
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