(7x^2+46x+15)/(x+6)

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Solution for (7x^2+46x+15)/(x+6) equation: 


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:+oo)

(7*x^2+46*x+15)/(x+6) = 0

7*x^2+46*x+15 = 0

7*x^2+46*x+15 = 0

DELTA = 46^2-(4*7*15)

DELTA = 1696

DELTA > 0

x = (1696^(1/2)-46)/(2*7) or x = (-1696^(1/2)-46)/(2*7)

x = (4*106^(1/2)-46)/14 or x = (-4*106^(1/2)-46)/14

(x-((-4*106^(1/2)-46)/14))*(x-((4*106^(1/2)-46)/14)) = 0

((x-((-4*106^(1/2)-46)/14))*(x-((4*106^(1/2)-46)/14)))/(x+6) = 0

( x-((-4*106^(1/2)-46)/14) )

x-((-4*106^(1/2)-46)/14) = 0 // + (-4*106^(1/2)-46)/14

x = (-4*106^(1/2)-46)/14

( x-((4*106^(1/2)-46)/14) )

x-((4*106^(1/2)-46)/14) = 0 // + (4*106^(1/2)-46)/14

x = (4*106^(1/2)-46)/14

x in { (-4*106^(1/2)-46)/14, (4*106^(1/2)-46)/14 }

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