SOLUTION: i need so much help with my math hmwk. Right now I am trying to solve the following simplfy x/2x-3 - 1/x=2 Im stuck & iam terrible at math. can u help me solve this

Question 221296: i need so much help with my math hmwk. Right now I am trying to solve the following
simplfy
x/2x-3 - 1/x=2
Im stuck & iam terrible at math. can u help me solve this

Found 3 solutions by Alan3354, RAY100, drj:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x/2x-3 - 1/x=2
------------------

You have to combine the 2 terms on the left. Find a common denominator.
A common DEN can always be found by multiplying the DENs. It might not be the Least CD, but it will give the same answer.
(2x-3)*x = 2x^2 - 3x = DEN
------------
x/(2x-3) = x^2/DEN
1 = (x^2-3x)/DEN
Add those
--> (2x^2 - 3x)/DEN

Multiply thru by DEN

x(x-2) = 0
x = 0
x = 2

Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
x/(2x-3) - (1/x) = 2
.
Use LCD = x(2x-3)
.
{x(x) - 1(2x-3)}/x(2x-3) = 2,,,,,,,,cross multiply
.
x^2 -2x +3 = x(2x-3)2 = 4x^2 -6x
.
0= 3x^2 -4x -3
.
using quadratic eqn to solve
.
a=3,,,,,b= -4,,,,,c= -3
.
x= [ -(-4) +/- sqrt{(-4)^2 -4(3)(-3)]/2(3)
.
x= [ 4 +/- sqrt{ 16 +36} ] /6
.
x= [ 4 +/- sqrt {52} ] /6
.
x= [ 4 +/- 7.21] /6
.
x= 1.87,,,-.535
.

Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
I need so much help with my math hmwk. Right now I am trying to solve the following

simplfy

Step 1. Multiply x(2x-3) to both sides of equation get rid of fractions

Step 2. Subtract from both sides of the equation

Step 3. Add 2x-6 to both sides of the equation

]

Step 4. Use the quadratic formula given as

where a=3, b=-4 and c=-6

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=88 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.23013858660781, -0.896805253274477. Here's your graph:

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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