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

Question

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

parthkohli · Answer

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

anonymous · Answer

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

anonymous · Answer

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

campbell_st · Answer

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

$$x = -\frac{99}{33}$$

campbell_st · Answer

oops 

$$x =- \frac{99}{31}$$

parthkohli · Answer

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

anonymous · Answer

thank you very much :)