Question

[10.02] Solve the proportion 2 times x all over 9 times x minus 8 equals 2 over x.. What is the value of x?

Answer 1

Is the equation like this :
\[\Large\frac{2x}{9x-8}=\frac{2}{x}\]
??

Answer 2

Yeah

Answer 3

nd there's two values for x

Answer 4

To solve this equation we use the cross :
\[\Large \frac{\color{red}a}{\color{blue}b}=\frac{\color{blue}c}{\color{red}d}\Longrightarrow \color{red}{ad}=\color{blue}{bc}\]

Answer 5

Yeah I knew tht

Answer 6

Good !
So you will get :
\[\Large 2x^2=18x-16\]
So, by dividing over 2 we get :
\[\Large x^2-9x+8=0\]
This can be factored like this :
\[\Large (x-8)(x-1)=0\]
So :
\[\Large x-8=0\quad \text{ or } \quad x-1=0\]
So :
\[\Large x=8\quad \text{ or } \quad x=1\]

Answer 7

I get uber confused with factoring. lol thanks c:

Answer 8

To factor the expression :
\[\Large x^2-9x+8\]
we have to look for two numbers a and b such that :
\[\Large a+b=-9 \text{ and } ab=8\]

Answer 9

Yeah I think that is what throws me off

Answer 10

I have 2 problems I am stuck on would you mind helping me out I really need to finish this test so I can take my exam.