(15/x)=((x^2)-7x+17)

Solution for (15/x)=((x^2)-7x+17) equation:

D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

15/x = x^2-(7*x)+17 // - x^2-(7*x)+17

7*x-x^2+15/x-17 = 0

7*x^1-1*x^2+15*x^-1-17*x^0 = 0

(7*x^2-1*x^3-17*x^1+15*x^0)/(x^1) = 0 // * x^2

x^1*(7*x^2-1*x^3-17*x^1+15*x^0) = 0

x^1

7*x^2-x^3-17*x+15 = 0

{ 1, -1, 3, -3, 5, -5, 15, -15 }

1

x = 1

7*x^2-x^3-17*x+15 = 4

1

-1

x = -1

7*x^2-x^3-17*x+15 = 40

-1

3

x = 3

7*x^2-x^3-17*x+15 = 0

3

x-3

4*x-x^2-5

7*x^2-x^3-17*x+15

x-3

x^3-3*x^2

4*x^2-17*x+15

12*x-4*x^2

15-5*x

5*x-15

0

4*x-x^2-5 = 0

DELTA = 4^2-(-5*(-1)*4)

DELTA = -4

DELTA < 0

x in { 3} 

x = 3