(6x2+43x+39)/x+6

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Solution for (6x2+43x+39)/x+6 equation:


D( x )

x = 0

x = 0

x = 0

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

(6*x^2+43*x+39)/x+6 = 0

(6*x^2+43*x+39)/x+(6*x)/x = 0

6*x^2+43*x+6*x+39 = 0

6*x^2+49*x+39 = 0

6*x^2+49*x+39 = 0

6*x^2+49*x+39 = 0

DELTA = 49^2-(4*6*39)

DELTA = 1465

DELTA > 0

x = (1465^(1/2)-49)/(2*6) or x = (-1465^(1/2)-49)/(2*6)

x = (1465^(1/2)-49)/12 or x = (-(1465^(1/2)+49))/12

(x+(1465^(1/2)+49)/12)*(x-((1465^(1/2)-49)/12)) = 0

((x+(1465^(1/2)+49)/12)*(x-((1465^(1/2)-49)/12)))/x = 0

((x+(1465^(1/2)+49)/12)*(x-((1465^(1/2)-49)/12)))/x = 0 // * x

(x+(1465^(1/2)+49)/12)*(x-((1465^(1/2)-49)/12)) = 0

( x+(1465^(1/2)+49)/12 )

x+(1465^(1/2)+49)/12 = 0 // - (1465^(1/2)+49)/12

x = -((1465^(1/2)+49)/12)

( x-((1465^(1/2)-49)/12) )

x-((1465^(1/2)-49)/12) = 0 // + (1465^(1/2)-49)/12

x = (1465^(1/2)-49)/12

x in { -((1465^(1/2)+49)/12), (1465^(1/2)-49)/12 }

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