(a^2+6a-11)/(a+7)

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Solution for (a^2+6a-11)/(a+7) equation:


D( a )

a+7 = 0

a+7 = 0

a+7 = 0

a+7 = 0 // - 7

a = -7

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

(a^2+6*a-11)/(a+7) = 0

a^2+6*a-11 = 0

a^2+6*a-11 = 0

DELTA = 6^2-(-11*1*4)

DELTA = 80

DELTA > 0

a = (80^(1/2)-6)/(1*2) or a = (-80^(1/2)-6)/(1*2)

a = (4*5^(1/2)-6)/2 or a = (-4*5^(1/2)-6)/2

(a-((-4*5^(1/2)-6)/2))*(a-((4*5^(1/2)-6)/2)) = 0

((a-((-4*5^(1/2)-6)/2))*(a-((4*5^(1/2)-6)/2)))/(a+7) = 0

( a-((-4*5^(1/2)-6)/2) )

a-((-4*5^(1/2)-6)/2) = 0 // + (-4*5^(1/2)-6)/2

a = (-4*5^(1/2)-6)/2

( a-((4*5^(1/2)-6)/2) )

a-((4*5^(1/2)-6)/2) = 0 // + (4*5^(1/2)-6)/2

a = (4*5^(1/2)-6)/2

a in { (-4*5^(1/2)-6)/2, (4*5^(1/2)-6)/2 }

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