4x^2-32x+29/x-7

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Solution for 4x^2-32x+29/x-7 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x^2-(32*x)+29/x-7 = 0

4*x^2-32*x+29/x-7 = 0

4*x^2-32*x^1+29*x^-1-7*x^0 = 0

(4*x^3-32*x^2-7*x^1+29*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^3-32*x^2-7*x^1+29*x^0) = 0

x^1

4*x^3-32*x^2-7*x+29 = 0

{ 1, -1, 29, -29 }

1

x = 1

4*x^3-32*x^2-7*x+29 = -6

1

-1

x = -1

4*x^3-32*x^2-7*x+29 = 0

-1

x+1

4*x^2-36*x+29

4*x^3-32*x^2-7*x+29

x+1

-4*x^3-4*x^2

29-36*x^2-7*x

36*x^2+36*x

29*x+29

-29*x-29

0

4*x^2-36*x+29 = 0

DELTA = (-36)^2-(4*4*29)

DELTA = 832

DELTA > 0

x = (832^(1/2)+36)/(2*4) or x = (36-832^(1/2))/(2*4)

x = (8*13^(1/2)+36)/8 or x = (36-8*13^(1/2))/8

x in { (36-8*13^(1/2))/8, (8*13^(1/2)+36)/8, -1} 

x in { (36-8*13^(1/2))/8, (8*13^(1/2)+36)/8, -1 }

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