96/x+4=x

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Solution for 96/x+4=x equation:


D( x )

x = 0

x = 0

x = 0

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

96/x+4 = x // - x

96/x-x+4 = 0

96*x^-1-1*x^1+4*x^0 = 0

(4*x^1-1*x^2+96*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^1-1*x^2+96*x^0) = 0

x^1

4*x-x^2+96 = 0

4*x-x^2+96 = 0

DELTA = 4^2-(-1*4*96)

DELTA = 400

DELTA > 0

x = (400^(1/2)-4)/(-1*2) or x = (-400^(1/2)-4)/(-1*2)

x = -8 or x = 12

x in { -8, 12}

x in { -8, 12 }

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