x+x^(1/2)=20

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Solution for x+x^(1/2)=20 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x+x^(1/2) = 20 // - 20

x+x^(1/2)-20 = 0

t_1 = x^(1/2)

1*t_1^2+1*t_1^1-20 = 0

t_1^2+t_1-20 = 0

DELTA = 1^2-(-20*1*4)

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)-1)/(1*2) or t_1 = (-81^(1/2)-1)/(1*2)

t_1 = 4 or t_1 = -5

t_1 = -5

x^(1/2)+5 = 0

1*x^(1/2) = -5 // : 1

x^(1/2) = -5

( -5 < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

t_1 = 4

x^(1/2)-4 = 0

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

x^(1/2) = 4

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

x = 16

x = 16

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