2x^(1/2)-11x^(1/4)-6=0

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Solution for 2x^(1/2)-11x^(1/4)-6=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

2*x^(1/2)-(11*x^(1/4))-6 = 0

2*x^(1/2)-11*x^(1/4)-6 = 0

t_1 = x^(1/4)

2*t_1^2-11*t_1^1-6 = 0

2*t_1^2-11*t_1-6 = 0

DELTA = (-11)^2-(-6*2*4)

DELTA = 169

DELTA > 0

t_1 = (169^(1/2)+11)/(2*2) or t_1 = (11-169^(1/2))/(2*2)

t_1 = 6 or t_1 = -1/2

t_1 = -1/2

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

1*x^(1/4) = -1/2 // : 1

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

( -1/2 < 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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