5.33=3900x+1000/3x^2+100

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Solution for 5.33=3900x+1000/3x^2+100 equation:


x in (-oo:+oo)

5.33 = (1000/3)*x^2+3900*x+100 // - (1000/3)*x^2+3900*x+100

5.33-((1000/3)*x^2)-(3900*x)-100 = 0

(-1000/3)*x^2-3900*x-100+5.33 = 0

-1000/3*x^2-3900*x-94.67 = 0

DELTA = (-3900)^2-(-1000/3*(-94.67)*4)

DELTA = 15083773.3333345956

DELTA > 0

x = (15083773.3333345956^(1/2)+3900)/(-1000/3*2) or x = (3900-15083773.3333345956^(1/2))/(-1000/3*2)

x = -3/2000*(15083773.3333345956^(1/2)+3900) or x = -3/2000*(3900-15083773.3333345956^(1/2))

x in { -3/2000*(15083773.3333345956^(1/2)+3900), -3/2000*(3900-15083773.3333345956^(1/2)) }

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