SOLUTION: HOW DO YOU SOLVE THIS PROBLEM ALGEBRAICALLY? 1/4=3-2X-1/X+2

Question 112358: HOW DO YOU SOLVE THIS PROBLEM ALGEBRAICALLY?
1/4=3-2X-1/X+2
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
1/4=3-(2x)-(1/x)+2 I assume this is the problem. You must use parentheses so the tutors no what the question is.
x=12x-8x^2-4+8x multiply each side by 4x to eliminate fractions.
8x^2-19x+4=0 subtract the right side from the left.

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=233 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.14152109515461, 0.233478904845391. Here's your graph:

RELATED QUESTIONS
2x+3/x-1=10/X^2-1+2x-3/x+1 how do you solve this problem?... (answered by Fombitz,stanbon)

How do you solve for this inequality algebraically. (x+1)(x-2)(2^x) > 0 (answered by robertb)

how do you solve this problem 2x^3-3xy if x=-1 y=2 (answered by jim_thompson5910)

how do you solve this math problem 1/4=3-2x-1 over x+2 I know that you rewrite it like... (answered by mananth)

How do you solve this problem algebraically:... (answered by Mathematicians)

x-2y+z=2 2x-y-z=1 how do you solve this kind of... (answered by stanbon)

How do I solve this problem:... (answered by IWork4Dessert)

How Do You Solve This Problem In Substitution Method? x + y = 4 Y=2x+1 (answered by jpg7n16)

how do you solve 2^x=x+3 algebraically? (answered by Alan3354)