(228*3.5)/((1-x)*228)+(x*3.5)

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Solution for (228*3.5)/((1-x)*228)+(x*3.5) equation: 


D( x )

228*(1-x) = 0

228*(1-x) = 0

228*(1-x) = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

x in (-oo:1) U (1:+oo)

(3.5*228)/(228*(1-x))+3.5*x = 0

798/(228*(1-x))+3.5*x = 0

798/(228*(1-x))+(3.5*228*x*(1-x))/(228*(1-x)) = 0

3.5*228*x*(1-x)+798 = 0

798*x-798*x^2+798 = 0

798*x-798*x^2+798 = 0

798*(x-x^2+1) = 0

x-x^2+1 = 0

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

DELTA = 5

DELTA > 0

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

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

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

(798*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)))/(228*(1-x)) = 0

(798*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)))/(228*(1-x)) = 0 // * 228*(1-x)

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

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

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

x = (5^(1/2)+1)/2

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

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

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

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

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