x^(1/2)=-5x^(1/4)

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Solution for x^(1/2)=-5x^(1/4) equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(1/2) = -5*x^(1/4) // + -5*x^(1/4)

x^(1/2)-(-5*x^(1/4)) = 0

x^(1/2)+5*x^(1/4) = 0

t_1 = x^(1/4)

1*t_1^2+5*t_1^1 = 0

t_1^2+5*t_1 = 0

DELTA = 5^2-(0*1*4)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)-5)/(1*2) or t_1 = (-25^(1/2)-5)/(1*2)

t_1 = 0 or t_1 = -5

t_1 = -5

x^(1/4)+5 = 0

1*x^(1/4) = -5 // : 1

x^(1/4) = -5

( -5 < 0 i 1/4 in (0:1) ) => x naleu017Cy do O

t_1 = 0

x^(1/4)+0 = 0

x^(1/4) = 0

1*x^(1/4) = 0 // : 1

x^(1/4) = 0

x = 0

x = 0

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