5/3a+8=-2/a+1

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Solution for 5/3a+8=-2/a+1 equation:


D( a )

a = 0

a = 0

a = 0

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

(5/3)*a+8 = 1-2/a // - 1-2/a

(5/3)*a-(-2/a)-1+8 = 0

(5/3)*a+2*a^-1-1+8 = 0

5/3*a^1+2*a^-1+7*a^0 = 0

(5/3*a^2+7*a^1+2*a^0)/(a^1) = 0 // * a^2

a^1*(5/3*a^2+7*a^1+2*a^0) = 0

a^1

(5/3)*a^2+7*a+2 = 0

(5/3)*a^2+7*a+2 = 0

DELTA = 7^2-(2*4*(5/3))

DELTA = 107/3

DELTA > 0

a = ((107/3)^(1/2)-7)/(2*(5/3)) or a = (-(107/3)^(1/2)-7)/(2*(5/3))

a = 3/10*((107/3)^(1/2)-7) or a = -3/10*((107/3)^(1/2)+7)

a in { -3/10*((107/3)^(1/2)+7), 3/10*((107/3)^(1/2)-7)}

a in { -3/10*((107/3)^(1/2)+7), 3/10*((107/3)^(1/2)-7) }

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