(a^2-5a-42)/(a-9)

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Solution for (a^2-5a-42)/(a-9) equation:


D( a )

a-9 = 0

a-9 = 0

a-9 = 0

a-9 = 0 // + 9

a = 9

a in (-oo:9) U (9:+oo)

(a^2-(5*a)-42)/(a-9) = 0

(a^2-5*a-42)/(a-9) = 0

a^2-5*a-42 = 0

a^2-5*a-42 = 0

DELTA = (-5)^2-(-42*1*4)

DELTA = 193

DELTA > 0

a = (193^(1/2)+5)/(1*2) or a = (5-193^(1/2))/(1*2)

a = (193^(1/2)+5)/2 or a = (5-193^(1/2))/2

(a-((5-193^(1/2))/2))*(a-((193^(1/2)+5)/2)) = 0

((a-((5-193^(1/2))/2))*(a-((193^(1/2)+5)/2)))/(a-9) = 0

( a-((193^(1/2)+5)/2) )

a-((193^(1/2)+5)/2) = 0 // + (193^(1/2)+5)/2

a = (193^(1/2)+5)/2

( a-((5-193^(1/2))/2) )

a-((5-193^(1/2))/2) = 0 // + (5-193^(1/2))/2

a = (5-193^(1/2))/2

a in { (193^(1/2)+5)/2, (5-193^(1/2))/2 }

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