x^(1/2)-8x^(1/4)+15=0

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Solution for x^(1/2)-8x^(1/4)+15=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(1/2)-(8*x^(1/4))+15 = 0

x^(1/2)-8*x^(1/4)+15 = 0

t_1 = x^(1/4)

1*t_1^2-8*t_1^1+15 = 0

t_1^2-8*t_1+15 = 0

DELTA = (-8)^2-(1*4*15)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)+8)/(1*2) or t_1 = (8-4^(1/2))/(1*2)

t_1 = 5 or t_1 = 3

t_1 = 3

x^(1/4)-3 = 0

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

x^(1/4) = 3

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

x = 81

t_1 = 5

x^(1/4)-5 = 0

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

x^(1/4) = 5

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

x = 625

x in { 81, 625 }

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