49x^(-5/2)+14x^(-3/2)+x^(-1/2)

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Solution for 49x^(-5/2)+14x^(-3/2)+x^(-1/2) equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

x^(-1/2)+14*x^(-3/2)+49*x^(-5/2) = 0

x^(-1/2)+14*x^(-3/2)+49*x^(-5/2) = 0

x^(-1/2)*(14*x^-1+49*x^-2+1) = 0

14*x^-1+49*x^-2+1*x^0 = 0

(1*x^2+14*x^1+49*x^0)/(x^2) = 0 // * x^4

x^2*(1*x^2+14*x^1+49*x^0) = 0

x^2

x^2+14*x+49 = 0

x^2+14*x+49 = 0

DELTA = 14^2-(1*4*49)

DELTA = 0

x = -14/(1*2)

x = -7 or x = -7

x in { -7, -7} 

1/(x^(1/2)) = 0

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

x^(-1/2) = 0

x naleu017Cy do O

x in { -7} 

x belongs to the empty set

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