SOLUTION: Find all solutions, real or complex, to the following equation {{{ 12/(x+1)

SOLUTION: Find all solutions, real or complex, to the following equation {{{ 12/(x+1) - 10/(x+3) -2 = 0 }}}

Question 470056: Find all solutions, real or complex, to the following equation

Found 2 solutions by esmy1234, Alan3354:
Answer by esmy1234(2) (Show Source): You can put this solution on YOUR website!
X=-5 or x=2
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

Multiply by (x+1)*(x+3)

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=45 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.85410196624968, -4.85410196624968. Here's your graph:

RELATED QUESTIONS
Find all solutions, real or complex, to the following equation {{{ x^3 - 4x^2 - 9x +... (answered by Edwin McCravy)
Find all solutions, real or complex, for the equation: ax^2 - (2a + 1)x + (a + 1) =... (answered by Tobiasz)
Solve using substitution. Find all solutions, real or complex. {{{ x^(4/3) - 3x^(2/3)... (answered by Alan3354)
Find the real and complex solutions to the equation x^3 + 1 =... (answered by stanbon)
solve the equation. give all solutions (real or complex). x^6... (answered by josgarithmetic)
find all real and/or complex solutions:... (answered by longjonsilver)
Find all solutions, real and complex, of the equation.... (answered by robertb)
Find all solutions, real and complex of the equation: a. x^4+x^3+x^2+x=0 b.... (answered by Alan3354)
Find exact values for all real/complex numbers solutions to the equation... (answered by stanbon)