x^(1/2)=x-2

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


D( x )

x < 0

x < 0

x in <0:+oo)

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

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

t_1 = x^(1/2)

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

t_1-t_1^2+2 = 0

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

DELTA = 9

DELTA > 0

t_1 = (9^(1/2)-1)/(-1*2) or t_1 = (-9^(1/2)-1)/(-1*2)

t_1 = -1 or t_1 = 2

t_1 = -1

x^(1/2)+1 = 0

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

x^(1/2) = -1

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

t_1 = 2

x^(1/2)-2 = 0

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

x^(1/2) = 2

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

x = 4

x = 4

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