((x^2)/(0.25-x))=1.8e-5

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Solution for ((x^2)/(0.25-x))=1.8e-5 equation: 


D( x )

0.25-x = 0

0.25-x = 0

0.25-x = 0

0.25-x = 0 // - 0.25

-x = -0.25 // * -1

x = 0.25

x in (-oo:0.25) U (0.25:+oo)

(x^2)/(0.25-x) = 1.8*e-5 // - 1.8*e-5

(x^2)/(0.25-x)-(1.8*e)+5 = 0

(x^2)/(0.25-x)-1.8*e+5 = 0

(x^2)/(0.25-x)+(-1.8*e*(0.25-x))/(0.25-x)+(5*(0.25-x))/(0.25-x) = 0

5*(0.25-x)-1.8*e*(0.25-x)+x^2 = 0

x^2+1.8*e*x-5*x-0.45*e+1.25 = 0

x^2+(1.8*e-5)*x-0.45*e+1.25 = 0

x^2+(1.8*e-5)*x-0.45*e+1.25 = 0

x^2+(1.8*e-5)*x-0.45*e+1.25 = 0

DELTA = (1.8*e-5)^2-(1*4*(1.25-0.45*e))

DELTA = (1.8*e-5)^2-4*(1.25-0.45*e)

DELTA = -0.095623856

DELTA < 0

1 = 0

1/(0.25-x) = 0

1/(0.25-x) = 0 // * 0.25-x

1 = 0

x belongs to the empty set

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