4x-x^(1/2)-3=0

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Solution for 4x-x^(1/2)-3=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

4*x-x^(1/2)-3 = 0

t_1 = x^(1/2)

4*t_1^2-1*t_1^1-3 = 0

4*t_1^2-t_1-3 = 0

DELTA = (-1)^2-(-3*4*4)

DELTA = 49

DELTA > 0

t_1 = (49^(1/2)+1)/(2*4) or t_1 = (1-49^(1/2))/(2*4)

t_1 = 1 or t_1 = -3/4

t_1 = -3/4

x^(1/2)+3/4 = 0

1*x^(1/2) = -3/4 // : 1

x^(1/2) = -3/4

( -3/4 < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

t_1 = 1

x^(1/2)-1 = 0

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

x^(1/2) = 1

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

x = 1

x = 1

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