4x-36/x-9

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Solution for 4x-36/x-9 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(36/x)-9 = 0

4*x-36*x^-1-9 = 0

4*x^1-36*x^-1-9*x^0 = 0

(4*x^2-9*x^1-36*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-9*x^1-36*x^0) = 0

x^1

4*x^2-9*x-36 = 0

4*x^2-9*x-36 = 0

DELTA = (-9)^2-(-36*4*4)

DELTA = 657

DELTA > 0

x = (657^(1/2)+9)/(2*4) or x = (9-657^(1/2))/(2*4)

x = (3*73^(1/2)+9)/8 or x = (9-3*73^(1/2))/8

x in { (9-3*73^(1/2))/8, (3*73^(1/2)+9)/8} 

x in { (9-3*73^(1/2))/8, (3*73^(1/2)+9)/8 }

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