8/a-48=48/7a

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Solution for 8/a-48=48/7a equation: 


D( a )

a = 0

a = 0

a = 0

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

8/a-48 = (48/7)*a // - (48/7)*a

8/a-((48/7)*a)-48 = 0

(-48/7)*a+8/a-48 = 0

8*a^-1-48/7*a^1-48*a^0 = 0

(8*a^0-48/7*a^2-48*a^1)/(a^1) = 0 // * a^2

a^1*(8*a^0-48/7*a^2-48*a^1) = 0

a^1

(-48/7)*a^2-48*a+8 = 0

(-48/7)*a^2-48*a+8 = 0

DELTA = (-48)^2-(4*8*(-48/7))

DELTA = 17664/7

DELTA > 0

a = ((17664/7)^(1/2)+48)/(2*(-48/7)) or a = (48-(17664/7)^(1/2))/(2*(-48/7))

a = -7/96*((17664/7)^(1/2)+48) or a = -7/96*(48-(17664/7)^(1/2))

a in { -7/96*((17664/7)^(1/2)+48), -7/96*(48-(17664/7)^(1/2))} 

a in { -7/96*((17664/7)^(1/2)+48), -7/96*(48-(17664/7)^(1/2)) }

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