3/2x-6-(x+1)/x-3=4

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Solution for 3/2x-6-(x+1)/x-3=4 equation: 


D( x )

x = 0

x = 0

x = 0

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

(3/2)*x-((x+1)/x)-6-3 = 4 // - 4

(3/2)*x-((x+1)/x)-6-4-3 = 0

(-1*(x+1))/x+(3*x)/2-6-4-3 = 0

(-1*2*(x+1))/(2*x)+(3*x*x)/(2*x)+(-6*2*x)/(2*x)+(-4*2*x)/(2*x)+(-3*2*x)/(2*x) = 0

3*x*x-1*2*(x+1)-6*2*x-4*2*x-3*2*x = 0

3*x^2-2*x-12*x-8*x-6*x-2 = 0

3*x^2-14*x-8*x-6*x-2 = 0

3*x^2-22*x-6*x-2 = 0

3*x^2-28*x-2 = 0

3*x^2-28*x-2 = 0

3*x^2-28*x-2 = 0

DELTA = (-28)^2-(-2*3*4)

DELTA = 808

DELTA > 0

x = (808^(1/2)+28)/(2*3) or x = (28-808^(1/2))/(2*3)

x = (2*202^(1/2)+28)/6 or x = (28-2*202^(1/2))/6

(x-((28-2*202^(1/2))/6))*(x-((2*202^(1/2)+28)/6)) = 0

((x-((28-2*202^(1/2))/6))*(x-((2*202^(1/2)+28)/6)))/(2*x) = 0

((x-((28-2*202^(1/2))/6))*(x-((2*202^(1/2)+28)/6)))/(2*x) = 0 // * 2*x

(x-((28-2*202^(1/2))/6))*(x-((2*202^(1/2)+28)/6)) = 0

( x-((2*202^(1/2)+28)/6) )

x-((2*202^(1/2)+28)/6) = 0 // + (2*202^(1/2)+28)/6

x = (2*202^(1/2)+28)/6

( x-((28-2*202^(1/2))/6) )

x-((28-2*202^(1/2))/6) = 0 // + (28-2*202^(1/2))/6

x = (28-2*202^(1/2))/6

x in { (2*202^(1/2)+28)/6, (28-2*202^(1/2))/6 }

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