0.007079=(x^2)/(0.1-x)

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Solution for 0.007079=(x^2)/(0.1-x) equation:


D( x )

0.1-x = 0

0.1-x = 0

0.1-x = 0

0.1-x = 0 // - 0.1

-x = -0.1 // * -1

x = 0.1

x in (-oo:0.1) U (0.1:+oo)

0.007079 = (x^2)/(0.1-x) // - (x^2)/(0.1-x)

0.007079-((x^2)/(0.1-x)) = 0

(-1*x^2)/(0.1-x)+0.007079 = 0

(-1*x^2)/(0.1-x)+(0.007079*(0.1-x))/(0.1-x) = 0

0.007079*(0.1-x)-1*x^2 = 0

0.0007079-x^2-0.007079*x = 0

0.0007079-x^2-0.007079*x = 0

0.0007079-x^2-0.007079*x = 0

DELTA = (-0.007079)^2-(-1*0.0007079*4)

DELTA = 0.007079^2+0.0028316

DELTA = 0.00288171

DELTA > 0

x = ((0.007079^2+0.0028316)^(1/2)+0.007079)/(-1*2) or x = (0.007079-(0.007079^2+0.0028316)^(1/2))/(-1*2)

x = ((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2) or x = (0.007079-(0.007079^2+0.0028316)^(1/2))/(-2)

(x-(((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2)))*(x-((0.007079-(0.007079^2+0.0028316)^(1/2))/(-2))) = 0

((x-(((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2)))*(x-((0.007079-(0.007079^2+0.0028316)^(1/2))/(-2))))/(0.1-x) = 0

((x-(((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2)))*(x-((0.007079-(0.007079^2+0.0028316)^(1/2))/(-2))))/(0.1-x) = 0 // * 0.1-x

(x-(((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2)))*(x-((0.007079-(0.007079^2+0.0028316)^(1/2))/(-2))) = 0

( x-(((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2)) )

x-(((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2)) = 0 // + ((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2)

x = ((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2)

( x-((0.007079-(0.007079^2+0.0028316)^(1/2))/(-2)) )

x-((0.007079-(0.007079^2+0.0028316)^(1/2))/(-2)) = 0 // + (0.007079-(0.007079^2+0.0028316)^(1/2))/(-2)

x = (0.007079-(0.007079^2+0.0028316)^(1/2))/(-2)

x in { ((0.007079^2+0.0028316)^(1/2)+0.007079)/(-2), (0.007079-(0.007079^2+0.0028316)^(1/2))/(-2) }

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