(x^2+4x-13)/(x+6)

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Solution for (x^2+4x-13)/(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)

(x^2+4*x-13)/(x+6) = 0

x^2+4*x-13 = 0

x^2+4*x-13 = 0

DELTA = 4^2-(-13*1*4)

DELTA = 68

DELTA > 0

x = (68^(1/2)-4)/(1*2) or x = (-68^(1/2)-4)/(1*2)

x = (2*17^(1/2)-4)/2 or x = (-2*17^(1/2)-4)/2

(x-((-2*17^(1/2)-4)/2))*(x-((2*17^(1/2)-4)/2)) = 0

((x-((-2*17^(1/2)-4)/2))*(x-((2*17^(1/2)-4)/2)))/(x+6) = 0

( x-((-2*17^(1/2)-4)/2) )

x-((-2*17^(1/2)-4)/2) = 0 // + (-2*17^(1/2)-4)/2

x = (-2*17^(1/2)-4)/2

( x-((2*17^(1/2)-4)/2) )

x-((2*17^(1/2)-4)/2) = 0 // + (2*17^(1/2)-4)/2

x = (2*17^(1/2)-4)/2

x in { (-2*17^(1/2)-4)/2, (2*17^(1/2)-4)/2 }

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