9/a-a/7=6

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Solution for 9/a-a/7=6 equation:


D( a )

a = 0

a = 0

a = 0

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

9/a-(a/7) = 6 // - 6

9/a-(a/7)-6 = 0

9*a^-1-1/7*a^1-6*a^0 = 0

(9*a^0-1/7*a^2-6*a^1)/(a^1) = 0 // * a^2

a^1*(9*a^0-1/7*a^2-6*a^1) = 0

a^1

(-1/7)*a^2-6*a+9 = 0

(-1/7)*a^2-6*a+9 = 0

DELTA = (-6)^2-(4*9*(-1/7))

DELTA = 288/7

DELTA > 0

a = ((288/7)^(1/2)+6)/(2*(-1/7)) or a = (6-(288/7)^(1/2))/(2*(-1/7))

a = -7/2*((288/7)^(1/2)+6) or a = -7/2*(6-(288/7)^(1/2))

a in { -7/2*((288/7)^(1/2)+6), -7/2*(6-(288/7)^(1/2))}

a in { -7/2*((288/7)^(1/2)+6), -7/2*(6-(288/7)^(1/2)) }

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