SOLUTION: 3/x +3 = 3/4x + 25/8

Question 152495: 3/x +3 = 3/4x + 25/8
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

Start with the given equation.

Get all terms to the left side.

Combine like terms.

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

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

or Break up the expression.

So our answers are or

which approximate to or
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