x^(7/6)-14x^(7/12)+49=0

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Solution for x^(7/6)-14x^(7/12)+49=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(7/6)-(14*x^(7/12))+49 = 0

x^(7/6)-14*x^(7/12)+49 = 0

t_1 = x^(7/12)

1*t_1^2-14*t_1^1+49 = 0

t_1^2-14*t_1+49 = 0

DELTA = (-14)^2-(1*4*49)

DELTA = 0

t_1 = 14/(1*2)

t_1 = 7 or t_1 = 7

t_1 = 7

x^(7/12)-7 = 0

1*x^(7/12) = 7 // : 1

x^(7/12) = 7

x^(7/12) = 7 // ^ 12

x^7 = 13841287201 // ^ 1/7

x = 7*16807^(1/7)

t_1 = 7

x^(7/12)-7 = 0

1*x^(7/12) = 7 // : 1

x^(7/12) = 7

x^(7/12) = 7 // ^ 12

x^7 = 13841287201 // ^ 1/7

x = 7*16807^(1/7)

x in { 7*16807^(1/7), 7*16807^(1/7) }

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