SOLUTION: Solve (n)/(n-3)+n=(7n-15)/(n-3)

Question 151730: Solve (n)/(n-3)+n=(7n-15)/(n-3)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply every term on both sides by the LCD . Doing this will eliminate all of the fractions.

Simplify

Distribute

Subtract from both sides. Add 15 to both sides.

Combine like terms.

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

Let's use the quadratic formula to solve for n

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

or Break up the expression.

So our answers are or

which approximate to or
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