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

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


D( d )

3*d^2+100 = 0

3*d^2+100 = 0

3*d^2+100 = 0

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

d^2 = -100/3

d in (-oo:+oo)

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

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

(-1*(3900*d+1000))/(3*d^2+100)+5.97 = 0

(-1*(3900*d+1000))/(3*d^2+100)+(5.97*(3*d^2+100))/(3*d^2+100) = 0

5.97*(3*d^2+100)-1*(3900*d+1000) = 0

17.91*d^2-3900*d-403 = 0

17.91*d^2-3900*d-403 = 0

17.91*d^2-3900*d-403 = 0

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

DELTA = 15238870.92

DELTA > 0

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

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

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

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

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

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

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

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

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

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

( d-0.02791736*(3900-15238870.92^(1/2)) )

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

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

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

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

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