0.20=(x^2)/(65-x)

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Solution for 0.20=(x^2)/(65-x) equation:


D( x )

65-x = 0

65-x = 0

65-x = 0

65-x = 0 // - 65

-x = -65 // * -1

x = 65

x in (-oo:65) U (65:+oo)

0.2 = (x^2)/(65-x) // - (x^2)/(65-x)

0.2-((x^2)/(65-x)) = 0

(-1*x^2)/(65-x)+0.2 = 0

(-1*x^2)/(65-x)+(0.2*(65-x))/(65-x) = 0

0.2*(65-x)-1*x^2 = 0

13-x^2-0.2*x = 0

13-x^2-0.2*x = 0

13-x^2-0.2*x = 0

DELTA = (-0.2)^2-(-1*4*13)

DELTA = 0.2^2+52

DELTA = 52.04

DELTA > 0

x = ((0.2^2+52)^(1/2)+0.2)/(-1*2) or x = (0.2-(0.2^2+52)^(1/2))/(-1*2)

x = ((0.2^2+52)^(1/2)+0.2)/(-2) or x = (0.2-(0.2^2+52)^(1/2))/(-2)

(x-(((0.2^2+52)^(1/2)+0.2)/(-2)))*(x-((0.2-(0.2^2+52)^(1/2))/(-2))) = 0

((x-(((0.2^2+52)^(1/2)+0.2)/(-2)))*(x-((0.2-(0.2^2+52)^(1/2))/(-2))))/(65-x) = 0

((x-(((0.2^2+52)^(1/2)+0.2)/(-2)))*(x-((0.2-(0.2^2+52)^(1/2))/(-2))))/(65-x) = 0 // * 65-x

(x-(((0.2^2+52)^(1/2)+0.2)/(-2)))*(x-((0.2-(0.2^2+52)^(1/2))/(-2))) = 0

( x-(((0.2^2+52)^(1/2)+0.2)/(-2)) )

x-(((0.2^2+52)^(1/2)+0.2)/(-2)) = 0 // + ((0.2^2+52)^(1/2)+0.2)/(-2)

x = ((0.2^2+52)^(1/2)+0.2)/(-2)

( x-((0.2-(0.2^2+52)^(1/2))/(-2)) )

x-((0.2-(0.2^2+52)^(1/2))/(-2)) = 0 // + (0.2-(0.2^2+52)^(1/2))/(-2)

x = (0.2-(0.2^2+52)^(1/2))/(-2)

x in { ((0.2^2+52)^(1/2)+0.2)/(-2), (0.2-(0.2^2+52)^(1/2))/(-2) }

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