Question

x^2/x+100=50

Answer 1

It is, \(\Large\color{blue}{ \frac{x^2}{x+100} =50 }\) right?

Answer 2

Yes

Answer 3

multiply both sides times "x+100"

Answer 4

what do you get ?

Answer 5

Let's solve your equation step-by-step.
x2
x
+100=50
Multiply all terms by x and cancel:
x2+100x=50x
x2+100x−50x=50x−50x(Subtract 50x from both sides)
x2+50x=0
x(x+50)=0(Factor left side of equation)
x=0 or x+50=0(Set factors equal to 0)
x=0 or x=−50
Check answers. (Plug them in to make sure they work.)
x=0(Doesn't work in original equation)
x=−50(Works in original equation)
Answer:
x=−50

Answer 6

Solomon for the fraction side you multiply x+100/1?

Answer 7

x^2+100x−50x=50x−50x(Subtract 50x from both sides)

Answer 8

yes, you mutliply times x+100, that will cancel the x+100 on the bottom, and give you just x^2 on the left.

On the right side though, when you multiply 50 times (x+100) what do you get?

Answer 9

50x+5000

Answer 10

To clear up the fraction side any time you multiply the denominator you just end with the numerator?

Answer 11

yes.

Answer 12

AND now we have \(\large\color{black}{ x^2=50x+5000 }\)

Answer 13

now x^2-50x-5000 and factor

Answer 14

yes, exactly.

Answer 15

but, \(\large\color{black}{ x^2-50x-5000=0 }\) (right?)

Answer 16

don't forget the "=0" part.

Answer 17

yes , factor it.

Answer 18

(x-100)(x+50)

Answer 19

yes.

Answer 20

so 100 and -50

Answer 21

there you go!

Answer 22

this is correct.
(if you want, you can check them)

Answer 23

Thanks, mine if I give you another problem? I'm stuck on that too..

Answer 24

I am going offline soon, so I don;t know.

Answer 25

It's the first question on the open section, try it if you can spare a few minutes