42/x-x=5/2

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Solution for 42/x-x=5/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

42/x-x = 5/2 // - 5/2

42/x-x-(5/2) = 0

42/x-x-5/2 = 0

42*x^-1-1*x^1-5/2*x^0 = 0

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

x^1*(42*x^0-1*x^2-5/2*x^1) = 0

x^1

(-5/2)*x-x^2+42 = 0

(-5/2)*x-x^2+42 = 0

DELTA = (-5/2)^2-(-1*4*42)

DELTA = 697/4

DELTA > 0

x = ((697/4)^(1/2)-(-5/2))/(-1*2) or x = (-(-5/2)-(697/4)^(1/2))/(-1*2)

x = ((697/4)^(1/2)+5/2)/(-2) or x = (5/2-(697/4)^(1/2))/(-2)

x in { ((697/4)^(1/2)+5/2)/(-2), (5/2-(697/4)^(1/2))/(-2)} 

x in { ((697/4)^(1/2)+5/2)/(-2), (5/2-(697/4)^(1/2))/(-2) }

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