Multiplying both sides by x^2 - x:
x2−xx^2 - xx2−xx2−xx^2 - xx2−x = 14−24/x14 - 24/x14−24/xx2−xx^2 - xx2−x
Expanding both sides:
x^4 - 2x^3 + x^2 = 14x^2 - 14x - 24x + 24
Rearranging terms:
x^4 - 2x^3 + x^2 - 14x^2 + 14x + 24x - 24 = 0
Simplifying:
x^4 - 2x^3 - 13x^2 + 38x - 24 = 0
This is the resulting equation.
Multiplying both sides by x^2 - x:
x2−xx^2 - xx2−xx2−xx^2 - xx2−x = 14−24/x14 - 24/x14−24/xx2−xx^2 - xx2−x
Expanding both sides:
x^4 - 2x^3 + x^2 = 14x^2 - 14x - 24x + 24
Rearranging terms:
x^4 - 2x^3 + x^2 - 14x^2 + 14x + 24x - 24 = 0
Simplifying:
x^4 - 2x^3 - 13x^2 + 38x - 24 = 0
This is the resulting equation.