SOLUTION: How do I solve this equation using the quadratic formula 3-4/x-2/x2=0 THREE - FOUR OVER X - TWO OVER X SQUARED = ZERO

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: How do I solve this equation using the quadratic formula 3-4/x-2/x2=0 THREE - FOUR OVER X - TWO OVER X SQUARED = ZERO      Log On


   

Question 3243: How do I solve this equation using the quadratic formula
3-4/x-2/x2=0
THREE - FOUR OVER X - TWO OVER X SQUARED = ZERO
Answer by drglass(89) About Me  (Show Source):
You can put this solution on YOUR website!
The first thing you want to do is make this formula look nice. Take 3+-+%284%2Fx%29+-+%282%2Fx%5E2%29+=+0 and multiply both sides by x%5E2. This will give you:

3x%5E2+-+4x+-+2+=+0.

This is a lot easier to look at, but keep in mind, x = 0 could be a problem.

To find the roots of this equation, use the quadratic formula:

%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29.

Setting a = 3, b = -4 and c = -2, the quadratic formulat becomes:

.

So the roots of the equation are %284+%2B+sqrt%2840%29%29%2F6 and %284+-+sqrt%2840%29%29%2F6. If you plug these numbers into a calculator you will see they work.