Question

Find the positive value for X such that x/2=3/x-5

Answer 1

cross-multiply, thats your first step

Answer 2

So you get x squared, I dont know what to do now, beacause its x*x-5

Answer 3

Continue on:
\[x ^{2}-5x=6\]

Answer 4

\[x^{2}-5x-6=0\]

Answer 5

Now solve using factoring.
select the factor that will produce the positive result.

Answer 6

can you factor it?

Answer 7

no

Answer 8

(x-6)(x+1) note that xx=x^2, -6(1)= -6 and that -6 + 1=-5.

Answer 9

So now (x-6)(x+1)=0

Answer 10

huh?

Answer 11

Solve for x. the positive value as per request of the problem.

Answer 12

no the part before that?

Answer 13

I was attempting to show you that (x-6)(x+1) were the factors of x^2-5x-6