Solve this equation algebraically. (x+1)^2 -2=2/x

Step-by-step explanation:

x =  -1, 1 and -2.

Step-by-step explanation:

(x+1)^2 - 2 = 2/x

Multiply through by x:

x(x + 1)^2 - 2x = 2

x(x^2 + 2x + 1) - 2x - 2 = 0

x^3 + 2x^2 + x - 2x - 2 = 0

x^3 + 2x^2  - x - 2 = 0

x^2(x + 2) - 1(x + 2) = 0

(x^2 - 1)(x + 2) = 0

(x + 1)(x - 1)(x + 2) = 0

These gives x =  -1, 1 and -2.

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answer: x=3 and y=4

step-by-step explanation: