(25/10*(20X-X^2)^0.5)

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Solution for (25/10*(20X-X^2)^0.5) equation: 


D( X )

20*X-X^2 < 0

20*X-X^2 < 0

20*X-X^2 < 0

20*X-X^2 < 0

DELTA = 20^2-(-1*0*4)

DELTA = 400

DELTA > 0

X = (400^(1/2)-20)/(-1*2) or X = (-400^(1/2)-20)/(-1*2)

X = 0 or X = 20

a = -1

a < 0

X in (-oo:0) U (20:+oo)

X in <0:20>

(25/10)*(20*X-X^2)^0.5 = 0

5/2*(20*X-X^2)^0.5 = 0

20*X-X^2 = 0

X*(20-X) = 0

20-X = 0 // - 20

-X = -20 // * -1

X = 20

X*(X-20) = 0

5/2*X^0.5*(X-20)^0.5 = 0

( X-20 )

X-20 = 0 // + 20

X = 20

( X )

X = 0

X in { 20, 0 }

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