4/a-24=24/7a

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Solution for 4/a-24=24/7a equation: 


D( a )

a = 0

a = 0

a = 0

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

4/a-24 = (24/7)*a // - (24/7)*a

4/a-((24/7)*a)-24 = 0

(-24/7)*a+4/a-24 = 0

4*a^-1-24/7*a^1-24*a^0 = 0

(4*a^0-24/7*a^2-24*a^1)/(a^1) = 0 // * a^2

a^1*(4*a^0-24/7*a^2-24*a^1) = 0

a^1

(-24/7)*a^2-24*a+4 = 0

(-24/7)*a^2-24*a+4 = 0

DELTA = (-24)^2-(4*4*(-24/7))

DELTA = 4416/7

DELTA > 0

a = ((4416/7)^(1/2)+24)/(2*(-24/7)) or a = (24-(4416/7)^(1/2))/(2*(-24/7))

a = -7/48*((4416/7)^(1/2)+24) or a = -7/48*(24-(4416/7)^(1/2))

a in { -7/48*((4416/7)^(1/2)+24), -7/48*(24-(4416/7)^(1/2))} 

a in { -7/48*((4416/7)^(1/2)+24), -7/48*(24-(4416/7)^(1/2)) }

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