2(50/x)+3=x

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Solution for 2(50/x)+3=x equation: 


D( x )

x = 0

x = 0

x = 0

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

2*(50/x)+3 = x // - x

2*(50/x)-x+3 = 0

100*x^-1-1*x^1+3*x^0 = 0

(3*x^1-1*x^2+100*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^1-1*x^2+100*x^0) = 0

x^1

3*x-x^2+100 = 0

3*x-x^2+100 = 0

DELTA = 3^2-(-1*4*100)

DELTA = 409

DELTA > 0

x = (409^(1/2)-3)/(-1*2) or x = (-409^(1/2)-3)/(-1*2)

x = (409^(1/2)-3)/(-2) or x = (409^(1/2)+3)/2

x in { (409^(1/2)-3)/(-2), (409^(1/2)+3)/2} 

x in { (409^(1/2)-3)/(-2), (409^(1/2)+3)/2 }

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