For what two values of x is the sum of these rational expressions undefined?

Type your answer as two integers separated by a comma, like this: -13, 4

x + 3x2– 2x – 15+3x + 12x + 6

Question

For what two values of x is the sum of these rational expressions undefined?


Type your answer as two integers separated by a comma, like this: -13, 4

x + 3x2– 2x – 15+3x + 12x + 6

anonymous · Answer

$$\frac{ x+3 }{ x^2-2x-15 }+\frac{ 3x+1 }{ 2x+6 }$$

anonymous · Answer

@bohotness

misty1212 · Answer

HI!!
are you supposed to add these?

bohotness · Answer

o.o

anonymous · Answer

yes but you factor them, and I am confused on it.

misty1212 · Answer

the first denominator factors as $(x-5)(x+3)$ the second one as $2(x+3)$ making the common denominator 
$$2(x+3)(x-5)$$

bohotness · Answer

okay i think i might be able to help

anonymous · Answer

okay, so now i would just add the numerators correct?

misty1212 · Answer

so $$\frac{ x+3 }{ x^2-2x-15 }+\frac{ 3x+1 }{ 2x+6 }$$
$$=\frac{(x+3)}{(x-5)(x+3)}\times \frac{2}{2}+\frac{3x+1}{2(x+3)}\times \frac{x-5}{x-5}$$

anonymous · Answer

im not getting it

misty1212 · Answer

when you add fractions you do not just add up the numerators

misty1212 · Answer

if you added $\frac{5}{12}+\frac{7}{18}$ what would you do?

anonymous · Answer

find what would make the same denominator

misty1212 · Answer

yes
ok lets agree that that is 36
then what?

anonymous · Answer

I just dont get the numerator part of what you put up there.

anonymous · Answer

the numerators would then be 15 and 14

misty1212 · Answer

right 
you had to multiply by the missing factor when you put both of those over the LCD

misty1212 · Answer

you have to do exactly the same thing with the variables

anonymous · Answer

so the top is $$3x^2+2x-2$$

misty1212 · Answer

idk i didn't do it
you gotta add that up, multiply out and combine like terms