SOLUTION: How do you figure out how to solve {{{(x-3)/2=5/x}}}?

Question 343583: How do you figure out how to solve ?
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Cross multiply.

Distribute.

Multiply

Subtract 10 from both sides.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I know how to solve it, but I'm not sure I know how to figure out how to solve it. It is just something I know.

Cross-multiply, collect all of the terms in the LHS so that everything is set equal to zero, then solve the resulting easily factorable quadratic equation. Note that you will have two roots. Check both of them.

John

My calculator said it, I believe it, that settles it

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