-3x-10/x=20

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Solution for -3x-10/x=20 equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

-3*x-(10/x) = 20 // - 20

-3*x-(10/x)-20 = 0

-3*x-10*x^-1-20 = 0

-3*x^1-10*x^-1-20*x^0 = 0

(-3*x^2-20*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(-3*x^2-20*x^1-10*x^0) = 0

x^1

-3*x^2-20*x-10 = 0

-3*x^2-20*x-10 = 0

DELTA = (-20)^2-(-10*(-3)*4)

DELTA = 280

DELTA > 0

x = (280^(1/2)+20)/(-3*2) or x = (20-280^(1/2))/(-3*2)

x = (2*70^(1/2)+20)/(-6) or x = (20-2*70^(1/2))/(-6)

x in { (2*70^(1/2)+20)/(-6), (20-2*70^(1/2))/(-6)}

x in { (2*70^(1/2)+20)/(-6), (20-2*70^(1/2))/(-6) }

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