(x^2)/(0.57-x)=0.083

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Solution for (x^2)/(0.57-x)=0.083 equation:


D( x )

0.57-x = 0

0.57-x = 0

0.57-x = 0

0.57-x = 0 // - 0.57

-x = -0.57 // * -1

x = 0.57

x in (-oo:0.57) U (0.57:+oo)

(x^2)/(0.57-x) = 0.083 // - 0.083

(x^2)/(0.57-x)-0.083 = 0

(x^2)/(0.57-x)+(-0.083*(0.57-x))/(0.57-x) = 0

x^2-0.083*(0.57-x) = 0

x^2+0.083*x-0.04731 = 0

x^2+0.083*x-0.04731 = 0

x^2+0.083*x-0.04731 = 0

DELTA = 0.083^2-(-0.04731*1*4)

DELTA = 0.083^2+0.18924

DELTA = 0.196129

DELTA > 0

x = ((0.083^2+0.18924)^(1/2)-0.083)/(1*2) or x = (-(0.083^2+0.18924)^(1/2)-0.083)/(1*2)

x = ((0.083^2+0.18924)^(1/2)-0.083)/2 or x = (-((0.083^2+0.18924)^(1/2)+0.083))/2

(x+((0.083^2+0.18924)^(1/2)+0.083)/2)*(x-(((0.083^2+0.18924)^(1/2)-0.083)/2)) = 0

((x+((0.083^2+0.18924)^(1/2)+0.083)/2)*(x-(((0.083^2+0.18924)^(1/2)-0.083)/2)))/(0.57-x) = 0

((x+((0.083^2+0.18924)^(1/2)+0.083)/2)*(x-(((0.083^2+0.18924)^(1/2)-0.083)/2)))/(0.57-x) = 0 // * 0.57-x

(x+((0.083^2+0.18924)^(1/2)+0.083)/2)*(x-(((0.083^2+0.18924)^(1/2)-0.083)/2)) = 0

( x+((0.083^2+0.18924)^(1/2)+0.083)/2 )

x+((0.083^2+0.18924)^(1/2)+0.083)/2 = 0 // - ((0.083^2+0.18924)^(1/2)+0.083)/2

x = -(((0.083^2+0.18924)^(1/2)+0.083)/2)

( x-(((0.083^2+0.18924)^(1/2)-0.083)/2) )

x-(((0.083^2+0.18924)^(1/2)-0.083)/2) = 0 // + ((0.083^2+0.18924)^(1/2)-0.083)/2

x = ((0.083^2+0.18924)^(1/2)-0.083)/2

x in { -(((0.083^2+0.18924)^(1/2)+0.083)/2), ((0.083^2+0.18924)^(1/2)-0.083)/2 }

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