SOLUTION: FUNMATH- please help!! 35. 4/x+3 + 7/x^2 - 3x + 9 = 108/x^3 + 27 39. x-1/3 + 6x+1/15 + 2(x-2)/13-7x = 2(x+2)/5 41. f(x) = 2x - 6/x; f(x) = 1 45. f(x) = 6/x - 6/2x: f(x) = 5

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Question 60826This question is from textbook Intermediate Algebra 9th
: FUNMATH- please help!!
35. 4/x+3 + 7/x^2 - 3x + 9 = 108/x^3 + 27
39. x-1/3 + 6x+1/15 + 2(x-2)/13-7x = 2(x+2)/5
41. f(x) = 2x - 6/x; f(x) = 1
45. f(x) = 6/x - 6/2x: f(x) = 5 This question is from textbook Intermediate Algebra 9th

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
4/(x + 3) + 7/(x^2 - 3x + 9) = 108/(x^3 + 27)
4/(x + 3) + 7/(x^2 - 3x + 9) = 108/((x + 3)(x^2 - 3x + 9))
4((x + 3)(x^2 - 3x + 9))/(x + 3) + 7((x + 3)(x^2 - 3x + 9))/(x^2 - 3x + 9) = 108((x + 3)(x^2 - 3x + 9))/((x + 3)(x^2 - 3x + 9))
4(x^2 - 3x + 9) + 7(x + 3) = 108
4x^2 - 12x + 36 + 7x + 21 = 108
4x^2 - 6x - 51 = 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=852 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4.39862987983161, -2.89862987983161. Here's your graph:


They are relatively the same.
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