x^(2/5)-3x^(1/5)-10=0

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Solution for x^(2/5)-3x^(1/5)-10=0 equation: 


x in (-oo:+oo)

x^(2/5)-(3*x^(1/5))-10 = 0

x^(2/5)-3*x^(1/5)-10 = 0

t_1 = x^(1/5)

1*t_1^2-3*t_1^1-10 = 0

t_1^2-3*t_1-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

t_1 = (49^(1/2)+3)/(1*2) or t_1 = (3-49^(1/2))/(1*2)

t_1 = 5 or t_1 = -2

t_1 = -2

x^(1/5)+2 = 0

1*x^(1/5) = -2 // : 1

x^(1/5) = -2

( -2 < 0 i 1/5 in (0:1) ) => x należy do O

t_1 = 5

x^(1/5)-5 = 0

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

x^(1/5) = 5

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

x = 3125

x = 3125

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