Question

Having problems solving this rational equation. Can anyone help?

30 50 1
---- = ----- + ----
X x+10 2

Answer 1

multiply the equation by 2x(x+10)
tell me what you get

Answer 2

2x(x+10) is the LCD?

Answer 3

yes

Answer 4

I get lost in the steps. I have no problems solving this question below. Is there anyway you could show me the original equation?


1 1
--- = ----
x 6-x

Answer 5

What I got was -30 for the first question, which I know is wrong.

Answer 6

OK let's see. your original equatio was (it is at the top)
\[ \large \frac{30}{x}=\frac{50}{x+10}+\frac{1}{2} \]
multiplying by 2x(x+10) we get
\[ \large 2\cdot30(x+10)=2\cdot50x+x(x+10) \]
\[ \large 60x+600=100x+x^2+10x \]
\[ \large 0=x^2+50x-600 \]
\[ \large 0=(x+60)(x-10) \]

Answer 7

Thank you. I got the left side down to 60x + 600. I didn't understand to move both and make it 0. Thank you

Answer 8

u r welcome