SOLUTION: can someone help me plss before monday? solve the equation. 21. 6x+1/x+20 = 20x+3/3x+7

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Question 473498: can someone help me plss before monday?
solve the equation.
21. 6x+1/x+20 = 20x+3/3x+7

Found 2 solutions by jorel1380, MathLover1:
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
6x+1/x+20 = 20x+3/3x+7
(6x+1)(3x+7)=(x+20)(20x+3)
18x2+45x+7=20x2+403x+60
2x2+358x+53=0
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=127740 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.148167338324839, -178.851832661675. Here's your graph:
..

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
...cross multiply








Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:


Starting with the general quadratic





the general solution using the quadratic equation is:







So lets solve ( notice , , and )





Plug in a=2, b=158, and c=53




Square 158 to get 24964




Multiply to get




Combine like terms in the radicand (everything under the square root)




Simplify the square root (note: If you need help with simplifying the square root, check out this solver)




Multiply 2 and 2 to get 4


So now the expression breaks down into two parts


or



Now break up the fraction



or



Simplify



or



So the solutions are:

or



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