5.7=(3900+1000)/(3d^2+100)

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Solution for 5.7=(3900+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)

5.7 = (1000+3900)/(3*d^2+100) // - (1000+3900)/(3*d^2+100)

5.7-((1000+3900)/(3*d^2+100)) = 0

(-1*4900)/(3*d^2+100)+5.7 = 0

(-1*4900)/(3*d^2+100)+(5.7*(3*d^2+100))/(3*d^2+100) = 0

5.7*(3*d^2+100)-1*4900 = 0

17.1*d^2-4330 = 0

(17.1*d^2-4330)/(3*d^2+100) = 0

(17.1*d^2-4330)/(3*d^2+100) = 0 // * 3*d^2+100

17.1*d^2-4330 = 0

17.1*d^2 = 4330 // : 17.1

d^2 = 253.21637427

d^2 = 253.21637427 // ^ 1/2

abs(d) = 253.21637427^(1/2)

d = 253.21637427^(1/2) or d = -253.21637427^(1/2)

d in { 253.21637427^(1/2), -253.21637427^(1/2) }

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