SOLUTION: I need to solve for x and show work --> (2/x-2)=(4/x-3)-(1/x+1)

Question 705278: I need to solve for x and show work --> (2/x-2)=(4/x-3)-(1/x+1)
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Given::
I would start by multiplying everything by each of the denominators

Then the denominators will cancel out

Rewrite the equation.

Start to multiply through

Multiply through

Combine like terms

Subtract 2X^2 from both sides

Add 4X to both sides

Add 6 to both sides

Now use the quadratic equation.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=68 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.123105625617661, -8.12310562561766. Here's your graph:

So X = 0.1231 & -8.1231
RELATED QUESTIONS
Solve for the variable in each equation below. Show all your work. Provide a check for... (answered by sudhanshu_kmr)

solve for x 5=(x-2)/3+(x+1)/4 please show ur work so I can understand how to... (answered by mbmodak)

show all work to find the answer. solve for X 1/x-1 + 4/2x-2=... (answered by Alan3354)

i need to solve for this equation: ((x+1)/x-2))+((x-3)/(x-1))<0 (answered by KMST)

please solve and show your work for me 3/x < 2/x+1... (answered by checkley77)

solve for x, show work. 1/x^2-7x+10 =... (answered by stanbon)

I need to solve : 1/2 + x/3 = 2x/3 - 1/4 Thanks for your... (answered by guapa)

solve for all values of x: 3+(x+3)^1/2=x please show all work. (answered by MathLover1)

solve the inequality and show all work. 2/x+5 is < or = to... (answered by psbhowmick)