x^(1/2)-14x^(1/4)+49=0

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Solution for x^(1/2)-14x^(1/4)+49=0 equation:


D( x )

x < 0

x < 0

x in <0:+oo)

x^(1/2)-(14*x^(1/4))+49 = 0

x^(1/2)-14*x^(1/4)+49 = 0

t_1 = x^(1/4)

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^(1/4)-7 = 0

1*x^(1/4) = 7 // : 1

x^(1/4) = 7

x^(1/4) = 7 // ^ 4

x = 2401

t_1 = 7

x^(1/4)-7 = 0

1*x^(1/4) = 7 // : 1

x^(1/4) = 7

x^(1/4) = 7 // ^ 4

x = 2401

x in { 2401, 2401 }

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