SOLUTION: Find all real solutions of the equation (x)square/x-1 + 1/x+2 = 5/4
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Question 45431
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Find all real solutions of the equation
(x)square/x-1 + 1/x+2 = 5/4
Answer by
Nate(3500)
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x^2/(x - 1) + 1/(x + 2) = 5/4
x^2(x - 1)4(x + 2)/(x - 1) + (x - 1)4(x + 2)/(x + 2) = 5(x - 1)4(x + 2)/4
x^2(4x + 8) + 4x - 4 = 5(x - 1)(x + 2)
4x^3 + 8x^2 + 4x - 4 = 5x^2 + 5x - 10
4x^3 + 3x^2 - x + 6 = 0