6.74=(3900x+1000)/(3x^2+100)

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Solution for 6.74=(3900x+1000)/(3x^2+100) 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)

6.74 = (3900*x+1000)/(3*x^2+100) // - (3900*x+1000)/(3*x^2+100)

6.74-((3900*x+1000)/(3*x^2+100)) = 0

(-1*(3900*x+1000))/(3*x^2+100)+6.74 = 0

(-1*(3900*x+1000))/(3*x^2+100)+(6.74*(3*x^2+100))/(3*x^2+100) = 0

6.74*(3*x^2+100)-1*(3900*x+1000) = 0

20.22*x^2-3900*x-326 = 0

20.22*x^2-3900*x-326 = 0

20.22*x^2-3900*x-326 = 0

DELTA = (-3900)^2-(-326*4*20.22)

DELTA = 15236366.88

DELTA > 0

x = (15236366.88^(1/2)+3900)/(2*20.22) or x = (3900-15236366.88^(1/2))/(2*20.22)

x = 0.02472799*(15236366.88^(1/2)+3900) or x = 0.02472799*(3900-15236366.88^(1/2))

(x-0.02472799*(3900-15236366.88^(1/2)))*(x-0.02472799*(15236366.88^(1/2)+3900)) = 0

((x-0.02472799*(3900-15236366.88^(1/2)))*(x-0.02472799*(15236366.88^(1/2)+3900)))/(3*x^2+100) = 0

((x-0.02472799*(3900-15236366.88^(1/2)))*(x-0.02472799*(15236366.88^(1/2)+3900)))/(3*x^2+100) = 0 // * 3*x^2+100

(x-0.02472799*(3900-15236366.88^(1/2)))*(x-0.02472799*(15236366.88^(1/2)+3900)) = 0

( x-0.02472799*(15236366.88^(1/2)+3900) )

x-0.02472799*(15236366.88^(1/2)+3900) = 0 // + -0.02472799*(15236366.88^(1/2)+3900)

x = -(-0.02472799*(15236366.88^(1/2)+3900))

x = 0.02472799*(15236366.88^(1/2)+3900)

( x-0.02472799*(3900-15236366.88^(1/2)) )

x-0.02472799*(3900-15236366.88^(1/2)) = 0 // + -0.02472799*(3900-15236366.88^(1/2))

x = -(-0.02472799*(3900-15236366.88^(1/2)))

x = 0.02472799*(3900-15236366.88^(1/2))

x in { 0.02472799*(15236366.88^(1/2)+3900), 0.02472799*(3900-15236366.88^(1/2)) }

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