1360/x=x/(1360-x)

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Solution for 1360/x=x/(1360-x) equation: 


D( x )

x = 0

1360-x = 0

x = 0

x = 0

1360-x = 0

1360-x = 0

1360-x = 0 // - 1360

-x = -1360 // * -1

x = 1360

x in (-oo:0) U (0:1360) U (1360:+oo)

1360/x = x/(1360-x) // - x/(1360-x)

1360/x-(x/(1360-x)) = 0

(-1*x)/(1360-x)+1360/x = 0

(-1*x^2)/(x*(1360-x))+(1360*(1360-x))/(x*(1360-x)) = 0

1360*(1360-x)-1*x^2 = 0

1849600-x^2-1360*x = 0

1849600-x^2-1360*x = 0

1849600-x^2-1360*x = 0

DELTA = (-1360)^2-(-1*4*1849600)

DELTA = 9248000

DELTA > 0

x = (9248000^(1/2)+1360)/(-1*2) or x = (1360-9248000^(1/2))/(-1*2)

x = (1360*5^(1/2)+1360)/(-2) or x = (1360-1360*5^(1/2))/(-2)

(x-((1360*5^(1/2)+1360)/(-2)))*(x-((1360-1360*5^(1/2))/(-2))) = 0

((x-((1360*5^(1/2)+1360)/(-2)))*(x-((1360-1360*5^(1/2))/(-2))))/(x*(1360-x)) = 0

((x-((1360*5^(1/2)+1360)/(-2)))*(x-((1360-1360*5^(1/2))/(-2))))/(x*(1360-x)) = 0 // * x*(1360-x)

(x-((1360*5^(1/2)+1360)/(-2)))*(x-((1360-1360*5^(1/2))/(-2))) = 0

( x-((1360*5^(1/2)+1360)/(-2)) )

x-((1360*5^(1/2)+1360)/(-2)) = 0 // + (1360*5^(1/2)+1360)/(-2)

x = (1360*5^(1/2)+1360)/(-2)

( x-((1360-1360*5^(1/2))/(-2)) )

x-((1360-1360*5^(1/2))/(-2)) = 0 // + (1360-1360*5^(1/2))/(-2)

x = (1360-1360*5^(1/2))/(-2)

x in { (1360*5^(1/2)+1360)/(-2), (1360-1360*5^(1/2))/(-2) }

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