Question

SOLVE for x/x.
1/(x+1)+1/(x+2)=2/(x+10)
solve in the easiest way.....​

Answer 1

Answer:

here is your answer in the easiest way

Step-by-step explanation:

1/(x+1)+1/(x+2)=2/(x+10)

» By LCM,

» (x+2)+(x+1)/(x+1)(x+2)=2/(x+10)

» x+2+x+1/(x+1)(x+2)=2/(x+10)

» 2x+3/(x+1)(x+2)=2/(x+10)

» By cross multiplication,

» (2x+3)(x+10)=2(x+1)(x+2)

» 2x square+20x+3x+30=2(x square+2x+x+2)

» 2x square+20x+3x+30=2x square+6x+4

» By arranging the variables in both sides,

» 20x+3x+30=6x+4 (2x square will cut after coming in LHS)

» 23x+30= 6x+4

» 23x-6x=30-4

» 17x = 26

» x = 26/17, ans