-3/a=5/4a+4a-5/a

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Solution for -3/a=5/4a+4a-5/a equation:


D( a )

a = 0

a = 0

a = 0

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

-3/a = (5/4)*a+4*a-(5/a) // - (5/4)*a+4*a-(5/a)

5/a-((5/4)*a)-(4*a)-3/a = 0

(-5/4)*a-4*a-3/a+5/a = 0

2*a^-1-21/4*a^1 = 0

(2*a^0-21/4*a^2)/(a^1) = 0 // * a^2

a^1*(2*a^0-21/4*a^2) = 0

a^1

(-21/4)*a^2+2 = 0

(-21/4)*a^2+2 = 0

DELTA = 0^2-(2*4*(-21/4))

DELTA = 42

DELTA > 0

a = (42^(1/2)+0)/(2*(-21/4)) or a = (0-42^(1/2))/(2*(-21/4))

a = -2/21*42^(1/2) or a = 2/21*42^(1/2)

a in { -2/21*42^(1/2), 2/21*42^(1/2)}

a in { -2/21*42^(1/2), 2/21*42^(1/2) }

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