Question

Solve the equation involving rational expressions:

x + 18/x = 11

Answer 1

\[\frac{x+18}{x}=11\]??

Answer 2

or its\[x+\frac{18}{x}=11\]

Answer 3

Rayne are u there?

Answer 4

I am here, sorry, work computers are awfully slow. So do I multiply x/x on both sides then?

Answer 5

It is 18/x not the whole thing.

Answer 6

\[x + \frac{ 18 }{ x } = 11\]

Answer 7

so multiply by \[x^2-11x+18=0\]this is a quadratic solve by factoring or quadratic formula

Answer 8

Mukushia, how did you come up with that?

Answer 9

multiply both sides of equatoin by x

\[x\times(x + \frac{ 18 }{ x }) = 11\times x\]\[x^2+x\times \frac{18}{x}=11x\]\[x^2+18=11x\]\[x^2-11x+18=0\]

Answer 10

x^2+9x? That is what I got.

Answer 11

Factorize that

Answer 12

I got (x+3)^2, and then went onto find the x numbers, it was not the answer that was in the back of the book..

Answer 13

\[\large{x^2-11x+18=0}\]
\[\large{x^2-9x-2x+18=0}\]
\[\large{x(x-9)-2(x-9)=0}\]
\[\large{(x-2)(x-9)=0}\]

Answer 14

that is either x = 2 or x = 9

Answer 15

I see.. thank you.

Answer 16

you're welcome