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 = -2/a-1 // + -2/a-1

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

(5/3)*a+2*a^-1-8+1 = 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 = (7-(107/3)^(1/2))/(2*(5/3))

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

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

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

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