Question

List all real values of x such that f(x)=0.
f(x)=((-17)/(x+18))+(-14/(x-9))

Answer 1

Whatever the problem is(I don't understand). f(x) = blahabalahh
Just equate it with zero.
0 = ((-17.........

Answer 2

\[
-\frac{17}{x+18}-\frac{14}{x-9}=0
\]

Answer 3

\[
\frac{-31 x-99}{(x-9) (x+18)}=0
\]

Answer 4

rewrite the equation

\[\frac{17}{x + 18} = \frac{-14}{x - 9}\]

cross multiply to eliminate the fractions

\[17(x - 9) = -14(x + 18)\]

17x - 153 = -14x - 252

add 14 to both sides

31x - 153 = -252

add 153 to both sides

31x = -99

\[x = -\frac{99}{33}\]

Answer 5

oops

\[x =- \frac{99}{31}\]

Answer 6

Writing it like that was certainly a better way. Good job.

Answer 7

thank you very much :)