x-12=4(x^(1/2))

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Solution for x-12=4(x^(1/2)) equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x-12 = 4*x^(1/2) // - 4*x^(1/2)

x-(4*x^(1/2))-12 = 0

x-4*x^(1/2)-12 = 0

t_1 = x^(1/2)

1*t_1^2-4*t_1^1-12 = 0

t_1^2-4*t_1-12 = 0

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

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)+4)/(1*2) or t_1 = (4-64^(1/2))/(1*2)

t_1 = 6 or t_1 = -2

t_1 = -2

x^(1/2)+2 = 0

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

x^(1/2) = -2

( -2 < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

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

x = 36

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