x^(2/3)-2x^(1/3)=63

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Solution for x^(2/3)-2x^(1/3)=63 equation: 


x in (-oo:+oo)

x^(2/3)-(2*x^(1/3)) = 63 // - 63

x^(2/3)-(2*x^(1/3))-63 = 0

x^(2/3)-2*x^(1/3)-63 = 0

t_1 = x^(1/3)

1*t_1^2-2*t_1^1-63 = 0

t_1^2-2*t_1-63 = 0

DELTA = (-2)^2-(-63*1*4)

DELTA = 256

DELTA > 0

t_1 = (256^(1/2)+2)/(1*2) or t_1 = (2-256^(1/2))/(1*2)

t_1 = 9 or t_1 = -7

t_1 = -7

x^(1/3)+7 = 0

1*x^(1/3) = -7 // : 1

x^(1/3) = -7

( -7 < 0 i 1/3 in (0:1) ) => x należy do O

t_1 = 9

x^(1/3)-9 = 0

1*x^(1/3) = 9 // : 1

x^(1/3) = 9

x^(1/3) = 9 // ^ 3

x = 729

x = 729

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