x^(1/2)-5x^(1/4)-6

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Solution for x^(1/2)-5x^(1/4)-6 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(1/2)-(5*x^(1/4))-6 = 0

x^(1/2)-5*x^(1/4)-6 = 0

t_1 = x^(1/4)

1*t_1^2-5*t_1^1-6 = 0

t_1^2-5*t_1-6 = 0

DELTA = (-5)^2-(-6*1*4)

DELTA = 49

DELTA > 0

t_1 = (49^(1/2)+5)/(1*2) or t_1 = (5-49^(1/2))/(1*2)

t_1 = 6 or t_1 = -1

t_1 = -1

x^(1/4)+1 = 0

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

x^(1/4) = -1

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

t_1 = 6

x^(1/4)-6 = 0

1*x^(1/4) = 6 // : 1

x^(1/4) = 6

x^(1/4) = 6 // ^ 4

x = 1296

x = 1296

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