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)+1+8 = 0

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

5/3*a^1+2*a^-1+9*a^0 = 0

(5/3*a^2+9*a^1+2*a^0)/(a^1) = 0 // * a^2

a^1*(5/3*a^2+9*a^1+2*a^0) = 0

a^1

(5/3)*a^2+9*a+2 = 0

(5/3)*a^2+9*a+2 = 0

DELTA = 9^2-(2*4*(5/3))

DELTA = 203/3

DELTA > 0

a = ((203/3)^(1/2)-9)/(2*(5/3)) or a = (-(203/3)^(1/2)-9)/(2*(5/3))

a = 3/10*((203/3)^(1/2)-9) or a = -3/10*((203/3)^(1/2)+9)

a in { -3/10*((203/3)^(1/2)+9), 3/10*((203/3)^(1/2)-9)}

a in { -3/10*((203/3)^(1/2)+9), 3/10*((203/3)^(1/2)-9) }

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