8-4/a+9(a+9)

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Solution for 8-4/a+9(a+9) equation:


D( a )

a = 0

a = 0

a = 0

a in (-oo:0) U (0:+oo)

9*(a+9)-(4/a)+8 = 0

9*(a+9)-4*a^-1+8 = 0

9*(a+9)-4/a+8 = 0

(9*a*(a+9))/a-4/a+(8*a)/a = 0

9*a*(a+9)+8*a-4 = 0

9*a^2+81*a+8*a-4 = 0

9*a^2+89*a-4 = 0

9*a^2+89*a-4 = 0

9*a^2+89*a-4 = 0

DELTA = 89^2-(-4*4*9)

DELTA = 8065

DELTA > 0

a = (8065^(1/2)-89)/(2*9) or a = (-8065^(1/2)-89)/(2*9)

a = (8065^(1/2)-89)/18 or a = (-(8065^(1/2)+89))/18

(a+(8065^(1/2)+89)/18)*(a-((8065^(1/2)-89)/18)) = 0

((a+(8065^(1/2)+89)/18)*(a-((8065^(1/2)-89)/18)))/a = 0

((a+(8065^(1/2)+89)/18)*(a-((8065^(1/2)-89)/18)))/a = 0 // * a

(a+(8065^(1/2)+89)/18)*(a-((8065^(1/2)-89)/18)) = 0

( a+(8065^(1/2)+89)/18 )

a+(8065^(1/2)+89)/18 = 0 // - (8065^(1/2)+89)/18

a = -((8065^(1/2)+89)/18)

( a-((8065^(1/2)-89)/18) )

a-((8065^(1/2)-89)/18) = 0 // + (8065^(1/2)-89)/18

a = (8065^(1/2)-89)/18

a in { -((8065^(1/2)+89)/18), (8065^(1/2)-89)/18 }

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