8/x-48=48/7x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 17664/7

DELTA > 0

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

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

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

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

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