(1.2*10^-2)=(x^2)/(0.01-x)

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Solution for (1.2*10^-2)=(x^2)/(0.01-x) equation: 


D( x )

0.01-x = 0

0.01-x = 0

0.01-x = 0

0.01-x = 0 // - 0.01

-x = -0.01 // * -1

x = 0.01

x in (-oo:0.01) U (0.01:+oo)

1.2*10^-2 = (x^2)/(0.01-x) // - (x^2)/(0.01-x)

1.2*10^-2-((x^2)/(0.01-x)) = 0

(-1*x^2)/(0.01-x)+0.012 = 0

(-1*x^2)/(0.01-x)+(0.012*(0.01-x))/(0.01-x) = 0

0.012*(0.01-x)-1*x^2 = 0

0.00012-x^2-0.012*x = 0

0.00012-x^2-0.012*x = 0

0.00012-x^2-0.012*x = 0

DELTA = (-0.012)^2-(-1*0.00012*4)

DELTA = 0.012^2+0.00048

DELTA = 0.000624

DELTA > 0

x = ((0.012^2+0.00048)^(1/2)+0.012)/(-1*2) or x = (0.012-(0.012^2+0.00048)^(1/2))/(-1*2)

x = ((0.012^2+0.00048)^(1/2)+0.012)/(-2) or x = (0.012-(0.012^2+0.00048)^(1/2))/(-2)

(x-(((0.012^2+0.00048)^(1/2)+0.012)/(-2)))*(x-((0.012-(0.012^2+0.00048)^(1/2))/(-2))) = 0

((x-(((0.012^2+0.00048)^(1/2)+0.012)/(-2)))*(x-((0.012-(0.012^2+0.00048)^(1/2))/(-2))))/(0.01-x) = 0

((x-(((0.012^2+0.00048)^(1/2)+0.012)/(-2)))*(x-((0.012-(0.012^2+0.00048)^(1/2))/(-2))))/(0.01-x) = 0 // * 0.01-x

(x-(((0.012^2+0.00048)^(1/2)+0.012)/(-2)))*(x-((0.012-(0.012^2+0.00048)^(1/2))/(-2))) = 0

( x-(((0.012^2+0.00048)^(1/2)+0.012)/(-2)) )

x-(((0.012^2+0.00048)^(1/2)+0.012)/(-2)) = 0 // + ((0.012^2+0.00048)^(1/2)+0.012)/(-2)

x = ((0.012^2+0.00048)^(1/2)+0.012)/(-2)

( x-((0.012-(0.012^2+0.00048)^(1/2))/(-2)) )

x-((0.012-(0.012^2+0.00048)^(1/2))/(-2)) = 0 // + (0.012-(0.012^2+0.00048)^(1/2))/(-2)

x = (0.012-(0.012^2+0.00048)^(1/2))/(-2)

x in { ((0.012^2+0.00048)^(1/2)+0.012)/(-2), (0.012-(0.012^2+0.00048)^(1/2))/(-2) }

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