SOLUTION: HAVING PROBLEMS SOLVING QUADRATIC EQUATIONS INVOLVING FRACTIONS E.G 4 OVER 2X-3 - 2 OVER X = 1 OVER NINE. THANKS FOR YOUR HELP

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Question 220965: HAVING PROBLEMS SOLVING QUADRATIC EQUATIONS INVOLVING FRACTIONS E.G
4 OVER 2X-3 - 2 OVER X = 1 OVER NINE.
THANKS FOR YOUR HELP
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
HAVING PROBLEMS SOLVING QUADRATIC EQUATIONS INVOLVING FRACTIONS E.G
4 OVER 2X-3 - 2 OVER X = 1 OVER NINE.



Step 1. To get rid of fractions multiply by 9x(2x-3) to both sides of the equation:







Step 2. Subtract to both sides of the equation:







Step 3. Solving using the quadratic formula yields



where a=2, b=-3, 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=57 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.63745860881769, -1.13745860881769. 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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