1,6*10^-1=(x^2)/(0.60-x)

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Solution for 1,6*10^-1=(x^2)/(0.60-x) equation: 


D( x )

0.6-x = 0

0.6-x = 0

0.6-x = 0

0.6-x = 0 // - 0.6

-x = -0.6 // * -1

x = 0.6

x in (-oo:0.6) U (0.6:+oo)

1.6*10^-1 = (x^2)/(0.6-x) // - (x^2)/(0.6-x)

1.6*10^-1-((x^2)/(0.6-x)) = 0

(-1*x^2)/(0.6-x)+0.16 = 0

(-1*x^2)/(0.6-x)+(0.16*(0.6-x))/(0.6-x) = 0

0.16*(0.6-x)-1*x^2 = 0

0.096-x^2-0.16*x = 0

0.096-x^2-0.16*x = 0

0.096-x^2-0.16*x = 0

DELTA = (-0.16)^2-(-1*0.096*4)

DELTA = 0.16^2+0.384

DELTA = 0.4096

DELTA > 0

x = ((0.16^2+0.384)^(1/2)+0.16)/(-1*2) or x = (0.16-(0.16^2+0.384)^(1/2))/(-1*2)

x = ((0.16^2+0.384)^(1/2)+0.16)/(-2) or x = (0.16-(0.16^2+0.384)^(1/2))/(-2)

(x-(((0.16^2+0.384)^(1/2)+0.16)/(-2)))*(x-((0.16-(0.16^2+0.384)^(1/2))/(-2))) = 0

((x-(((0.16^2+0.384)^(1/2)+0.16)/(-2)))*(x-((0.16-(0.16^2+0.384)^(1/2))/(-2))))/(0.6-x) = 0

((x-(((0.16^2+0.384)^(1/2)+0.16)/(-2)))*(x-((0.16-(0.16^2+0.384)^(1/2))/(-2))))/(0.6-x) = 0 // * 0.6-x

(x-(((0.16^2+0.384)^(1/2)+0.16)/(-2)))*(x-((0.16-(0.16^2+0.384)^(1/2))/(-2))) = 0

( x-(((0.16^2+0.384)^(1/2)+0.16)/(-2)) )

x-(((0.16^2+0.384)^(1/2)+0.16)/(-2)) = 0 // + ((0.16^2+0.384)^(1/2)+0.16)/(-2)

x = ((0.16^2+0.384)^(1/2)+0.16)/(-2)

( x-((0.16-(0.16^2+0.384)^(1/2))/(-2)) )

x-((0.16-(0.16^2+0.384)^(1/2))/(-2)) = 0 // + (0.16-(0.16^2+0.384)^(1/2))/(-2)

x = (0.16-(0.16^2+0.384)^(1/2))/(-2)

x in { ((0.16^2+0.384)^(1/2)+0.16)/(-2), (0.16-(0.16^2+0.384)^(1/2))/(-2) }

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