Question

(x^2-9/x+4=3-(x-3)/x+4

Answer 1

x = 2.579248

Explanation:

x^2 - 9/x + 4 = 3 - (x - 3/x) + 4

a) Multiply both sides by x.

x^3 + 4x - 9/x = 6x + 3

b) Multiply both sides by x.

x^4 + 4x^2 - 9x = 6x^2 + 3x

x^4 + 4x^2 - 9x - (6x^2 + 3x) = 6x^2 + 3x - (6x^2 + 3x)

x^4 - 2x^2 - 12x = 0

x(x^3 - 2x - 12) = 0

x = 0 or x^3 - 2x - 12 = 0

x = 0 or 2.5792479999999998