3a-21/a-7

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Solution for 3a-21/a-7 equation: 


D( a )

a = 0

a = 0

a = 0

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

3*a-(21/a)-7 = 0

3*a-21*a^-1-7 = 0

3*a^1-21*a^-1-7*a^0 = 0

(3*a^2-7*a^1-21*a^0)/(a^1) = 0 // * a^2

a^1*(3*a^2-7*a^1-21*a^0) = 0

a^1

3*a^2-7*a-21 = 0

3*a^2-7*a-21 = 0

DELTA = (-7)^2-(-21*3*4)

DELTA = 301

DELTA > 0

a = (301^(1/2)+7)/(2*3) or a = (7-301^(1/2))/(2*3)

a = (301^(1/2)+7)/6 or a = (7-301^(1/2))/6

a in { (7-301^(1/2))/6, (301^(1/2)+7)/6} 

a in { (7-301^(1/2))/6, (301^(1/2)+7)/6 }

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