0.20=(x^2)/(25-x)

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Solution for 0.20=(x^2)/(25-x) equation:


D( x )

25-x = 0

25-x = 0

25-x = 0

25-x = 0 // - 25

-x = -25 // * -1

x = 25

x in (-oo:25) U (25:+oo)

0.2 = (x^2)/(25-x) // - (x^2)/(25-x)

0.2-((x^2)/(25-x)) = 0

(-1*x^2)/(25-x)+0.2 = 0

(-1*x^2)/(25-x)+(0.2*(25-x))/(25-x) = 0

0.2*(25-x)-1*x^2 = 0

5-x^2-0.2*x = 0

5-x^2-0.2*x = 0

5-x^2-0.2*x = 0

DELTA = (-0.2)^2-(-1*4*5)

DELTA = 0.2^2+20

DELTA = 20.04

DELTA > 0

x = ((0.2^2+20)^(1/2)+0.2)/(-1*2) or x = (0.2-(0.2^2+20)^(1/2))/(-1*2)

x = ((0.2^2+20)^(1/2)+0.2)/(-2) or x = (0.2-(0.2^2+20)^(1/2))/(-2)

(x-(((0.2^2+20)^(1/2)+0.2)/(-2)))*(x-((0.2-(0.2^2+20)^(1/2))/(-2))) = 0

((x-(((0.2^2+20)^(1/2)+0.2)/(-2)))*(x-((0.2-(0.2^2+20)^(1/2))/(-2))))/(25-x) = 0

((x-(((0.2^2+20)^(1/2)+0.2)/(-2)))*(x-((0.2-(0.2^2+20)^(1/2))/(-2))))/(25-x) = 0 // * 25-x

(x-(((0.2^2+20)^(1/2)+0.2)/(-2)))*(x-((0.2-(0.2^2+20)^(1/2))/(-2))) = 0

( x-(((0.2^2+20)^(1/2)+0.2)/(-2)) )

x-(((0.2^2+20)^(1/2)+0.2)/(-2)) = 0 // + ((0.2^2+20)^(1/2)+0.2)/(-2)

x = ((0.2^2+20)^(1/2)+0.2)/(-2)

( x-((0.2-(0.2^2+20)^(1/2))/(-2)) )

x-((0.2-(0.2^2+20)^(1/2))/(-2)) = 0 // + (0.2-(0.2^2+20)^(1/2))/(-2)

x = (0.2-(0.2^2+20)^(1/2))/(-2)

x in { ((0.2^2+20)^(1/2)+0.2)/(-2), (0.2-(0.2^2+20)^(1/2))/(-2) }

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