((3900x)+(1000))/(3x^2+100)=5.97

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Solution for ((3900x)+(1000))/(3x^2+100)=5.97 equation: 


D( x )

3*x^2+100 = 0

3*x^2+100 = 0

3*x^2+100 = 0

3*x^2 = -100 // : 3

x^2 = -100/3

x in (-oo:+oo)

(3900*x+1000)/(3*x^2+100) = 5.97 // - 5.97

(3900*x+1000)/(3*x^2+100)-5.97 = 0

(3900*x+1000)/(3*x^2+100)+(-5.97*(3*x^2+100))/(3*x^2+100) = 0

3900*x-5.97*(3*x^2+100)+1000 = 0

3900*x-17.91*x^2+403 = 0

3900*x-17.91*x^2+403 = 0

3900*x-17.91*x^2+403 = 0

DELTA = 3900^2-(-17.91*4*403)

DELTA = 15238870.92

DELTA > 0

x = (15238870.92^(1/2)-3900)/(-17.91*2) or x = (-15238870.92^(1/2)-3900)/(-17.91*2)

x = -0.02791736*(15238870.92^(1/2)-3900) or x = 0.02791736*(15238870.92^(1/2)+3900)

(x+0.02791736*(15238870.92^(1/2)-3900))*(x-0.02791736*(15238870.92^(1/2)+3900)) = 0

((x+0.02791736*(15238870.92^(1/2)-3900))*(x-0.02791736*(15238870.92^(1/2)+3900)))/(3*x^2+100) = 0

((x+0.02791736*(15238870.92^(1/2)-3900))*(x-0.02791736*(15238870.92^(1/2)+3900)))/(3*x^2+100) = 0 // * 3*x^2+100

(x+0.02791736*(15238870.92^(1/2)-3900))*(x-0.02791736*(15238870.92^(1/2)+3900)) = 0

( x+0.02791736*(15238870.92^(1/2)-3900) )

x+0.02791736*(15238870.92^(1/2)-3900) = 0 // - 0.02791736*(15238870.92^(1/2)-3900)

x = -(0.02791736*(15238870.92^(1/2)-3900))

x = -0.02791736*(15238870.92^(1/2)-3900)

( x-0.02791736*(15238870.92^(1/2)+3900) )

x-0.02791736*(15238870.92^(1/2)+3900) = 0 // + -0.02791736*(15238870.92^(1/2)+3900)

x = -(-0.02791736*(15238870.92^(1/2)+3900))

x = 0.02791736*(15238870.92^(1/2)+3900)

x in { -0.02791736*(15238870.92^(1/2)-3900), 0.02791736*(15238870.92^(1/2)+3900) }

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