1/20=x/20(20-x)

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Solution for 1/20=x/20(20-x) equation:


x in (-oo:+oo)

1/20 = (x/20)*(20-x) // - (x/20)*(20-x)

1/20-((x/20)*(20-x)) = 0

1/20-1*1/20*x*(20-x) = 0

(-1*1/20*20*x*(20-x))/20+1/20 = 0

1-1*1/20*20*x*(20-x) = 0

x^2-20*x+1 = 0

x^2-20*x+1 = 0

x^2-20*x+1 = 0

DELTA = (-20)^2-(1*1*4)

DELTA = 396

DELTA > 0

x = (396^(1/2)+20)/(1*2) or x = (20-396^(1/2))/(1*2)

x = (6*11^(1/2)+20)/2 or x = (20-6*11^(1/2))/2

(x-((20-6*11^(1/2))/2))*(x-((6*11^(1/2)+20)/2)) = 0

((x-((20-6*11^(1/2))/2))*(x-((6*11^(1/2)+20)/2)))/20 = 0

((x-((20-6*11^(1/2))/2))*(x-((6*11^(1/2)+20)/2)))/20 = 0 // * 20

(x-((20-6*11^(1/2))/2))*(x-((6*11^(1/2)+20)/2)) = 0

( x-((20-6*11^(1/2))/2) )

x-((20-6*11^(1/2))/2) = 0 // + (20-6*11^(1/2))/2

x = (20-6*11^(1/2))/2

( x-((6*11^(1/2)+20)/2) )

x-((6*11^(1/2)+20)/2) = 0 // + (6*11^(1/2)+20)/2

x = (6*11^(1/2)+20)/2

x in { (20-6*11^(1/2))/2, (6*11^(1/2)+20)/2 }

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