Eq2 2

Solve following equation with quadratic members and rational function:

(x2+1)/(x-4) + (x2-1)/(x+3) = 23

Result

x1 =  -2.733
x2 =  5.786
x3 =  8.947

Solution:

(x2+1)/(x4)+(x21)/(x+3)=23 x<>4,x<>3  (x2+1) (x+3)+(x21) (x4)=23 (x4) (x+3)  2 x324 x2+23 x+283  x1=2.7333=2.733(x^2+1)/(x-4) + (x^2-1)/(x+3)=23 \ \\ x<>4, x<>-3 \ \\ \ \\ (x^2+1) \cdot \ (x+3) + (x^2-1) \cdot \ (x-4)=23 \cdot \ (x-4) \cdot \ (x+3) \ \\ \ \\ 2 \ x^3 - 24 \ x^2 + 23 \ x + 283 \ \\ \ \\ x_{1}=-2.7333=-2.733
x2=5.7863=5.786x_{2}=5.7863=5.786
x3=8.9470=8.947x_{3}=8.9470=8.947



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