(6x^2+48x+46)/(x+7)

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Solution for (6x^2+48x+46)/(x+7) equation:


D( x )

x+7 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x in (-oo:-7) U (-7:+oo)

(6*x^2+48*x+46)/(x+7) = 0

6*x^2+48*x+46 = 0

2*(3*x^2+24*x+23) = 0

3*x^2+24*x+23 = 0

DELTA = 24^2-(3*4*23)

DELTA = 300

DELTA > 0

x = (300^(1/2)-24)/(2*3) or x = (-300^(1/2)-24)/(2*3)

x = (10*3^(1/2)-24)/6 or x = (-10*3^(1/2)-24)/6

2*(x-((-10*3^(1/2)-24)/6))*(x-((10*3^(1/2)-24)/6)) = 0

(2*(x-((-10*3^(1/2)-24)/6))*(x-((10*3^(1/2)-24)/6)))/(x+7) = 0

( x-((-10*3^(1/2)-24)/6) )

x-((-10*3^(1/2)-24)/6) = 0 // + (-10*3^(1/2)-24)/6

x = (-10*3^(1/2)-24)/6

( x-((10*3^(1/2)-24)/6) )

x-((10*3^(1/2)-24)/6) = 0 // + (10*3^(1/2)-24)/6

x = (10*3^(1/2)-24)/6

x in { (-10*3^(1/2)-24)/6, (10*3^(1/2)-24)/6 }

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