8/(x^1/2)=x

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Solution for 8/(x^1/2)=x equation: 


D( x )

(x^1)/2 = 0

(x^1)/2 = 0

(x^1)/2 = 0

x/2 = 0

1/2*x = 0 // : 1/2

x = 0

x in (-oo:0) U (0:+oo)

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

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

8/(x/2)-x = 0

16*x^-1-1*x^1 = 0

(16*x^0-1*x^2)/(x^1) = 0 // * x^2

x^1*(16*x^0-1*x^2) = 0

x^1

16-x^2 = 0

16-x^2 = 0

DELTA = 0^2-(-1*4*16)

DELTA = 64

DELTA > 0

x = (64^(1/2)+0)/(-1*2) or x = (0-64^(1/2))/(-1*2)

x = -4 or x = 4

x in { -4, 4} 

x in { -4, 4 }

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