X^(5/4)-12X^(5/8)+36

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Solution for X^(5/4)-12X^(5/8)+36 equation:


D( X )

X < 0

X < 0

X in <0:+oo)

X^(5/4)-(12*X^(5/8))+36 = 0

X^(5/4)-12*X^(5/8)+36 = 0

t_1 = X^(5/8)

1*t_1^2-12*t_1^1+36 = 0

t_1^2-12*t_1+36 = 0

DELTA = (-12)^2-(1*4*36)

DELTA = 0

t_1 = 12/(1*2)

t_1 = 6 or t_1 = 6

t_1 = 6

X^(5/8)-6 = 0

1*X^(5/8) = 6 // : 1

X^(5/8) = 6

X^(5/8) = 6 // ^ 8

X^5 = 1679616 // ^ 1/5

X = 6*216^(1/5)

t_1 = 6

X^(5/8)-6 = 0

1*X^(5/8) = 6 // : 1

X^(5/8) = 6

X^(5/8) = 6 // ^ 8

X^5 = 1679616 // ^ 1/5

X = 6*216^(1/5)

X in { 6*216^(1/5), 6*216^(1/5) }

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