SOLUTION: Solve the equation 2x + 5 = -1/x

Question 336170: Solve the equation 2x + 5 = -1/x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply both EVERY term by the LCD x to clear out the fractions.

Add 1 to both sides.

Notice that the quadratic is 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 .

or Break up the expression.

So the solutions are or

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim
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