3x^(1/2)-13x^(1/4)-30=0

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Solution for 3x^(1/2)-13x^(1/4)-30=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

3*x^(1/2)-(13*x^(1/4))-30 = 0

3*x^(1/2)-13*x^(1/4)-30 = 0

t_1 = x^(1/4)

3*t_1^2-13*t_1^1-30 = 0

3*t_1^2-13*t_1-30 = 0

DELTA = (-13)^2-(-30*3*4)

DELTA = 529

DELTA > 0

t_1 = (529^(1/2)+13)/(2*3) or t_1 = (13-529^(1/2))/(2*3)

t_1 = 6 or t_1 = -5/3

t_1 = -5/3

x^(1/4)+5/3 = 0

1*x^(1/4) = -5/3 // : 1

x^(1/4) = -5/3

( -5/3 < 0 i 1/4 in (0:1) ) => x należy 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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