3x^(5/2)-6x^(3/2)-9x^(1/2)=0

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Solution for 3x^(5/2)-6x^(3/2)-9x^(1/2)=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

3*x^(5/2)-(6*x^(3/2))-(9*x^(1/2)) = 0

3*x^(5/2)-6*x^(3/2)-9*x^(1/2) = 0

3*x^(5/2)-6*x^(3/2)-9*x^(1/2) = 0

3*x^(1/2)*(x^2-2*x-3) = 0

x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)

x = 3 or x = -1

3*x^(1/2) = 0

3*x^(1/2) = 0 // : 3

x^(1/2) = 0

x = 0

x in { -1} 

x in { 3, 0 }

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