x-14x^(1/2)+48=0

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Solution for x-14x^(1/2)+48=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x-(14*x^(1/2))+48 = 0

x-14*x^(1/2)+48 = 0

t_1 = x^(1/2)

1*t_1^2-14*t_1^1+48 = 0

t_1^2-14*t_1+48 = 0

DELTA = (-14)^2-(1*4*48)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)+14)/(1*2) or t_1 = (14-4^(1/2))/(1*2)

t_1 = 8 or t_1 = 6

t_1 = 6

x^(1/2)-6 = 0

1*x^(1/2) = 6 // : 1

x^(1/2) = 6

x^(1/2) = 6 // ^ 2

x = 36

t_1 = 8

x^(1/2)-8 = 0

1*x^(1/2) = 8 // : 1

x^(1/2) = 8

x^(1/2) = 8 // ^ 2

x = 64

x in { 36, 64 }

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