1.25=(217+x)/(13.2-x)(32.8-x)

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Solution for 1.25=(217+x)/(13.2-x)(32.8-x) equation: 


D( x )

13.2-x = 0

13.2-x = 0

13.2-x = 0

13.2-x = 0 // - 13.2

-x = -13.2 // * -1

x = 13.2

x in (-oo:13.2) U (13.2:+oo)

1.25 = ((x+217)/(13.2-x))*(32.8-x) // - ((x+217)/(13.2-x))*(32.8-x)

1.25-(((x+217)/(13.2-x))*(32.8-x)) = 0

(-1*(x+217)*(32.8-x))/(13.2-x)+1.25 = 0

(-1*(x+217)*(32.8-x))/(13.2-x)+(1.25*(13.2-x))/(13.2-x) = 0

1.25*(13.2-x)-1*(x+217)*(32.8-x) = 0

x^2+182.95*x-7101.1 = 0

x^2+182.95*x-7101.1 = 0

x^2+182.95*x-7101.1 = 0

DELTA = 182.95^2-(-7101.1*1*4)

DELTA = 182.95^2+28404.4

DELTA = 61875.1025

DELTA > 0

x = ((182.95^2+28404.4)^(1/2)-182.95)/(1*2) or x = (-(182.95^2+28404.4)^(1/2)-182.95)/(1*2)

x = ((182.95^2+28404.4)^(1/2)-182.95)/2 or x = (-((182.95^2+28404.4)^(1/2)+182.95))/2

(x+((182.95^2+28404.4)^(1/2)+182.95)/2)*(x-(((182.95^2+28404.4)^(1/2)-182.95)/2)) = 0

((x+((182.95^2+28404.4)^(1/2)+182.95)/2)*(x-(((182.95^2+28404.4)^(1/2)-182.95)/2)))/(13.2-x) = 0

((x+((182.95^2+28404.4)^(1/2)+182.95)/2)*(x-(((182.95^2+28404.4)^(1/2)-182.95)/2)))/(13.2-x) = 0 // * 13.2-x

(x+((182.95^2+28404.4)^(1/2)+182.95)/2)*(x-(((182.95^2+28404.4)^(1/2)-182.95)/2)) = 0

( x+((182.95^2+28404.4)^(1/2)+182.95)/2 )

x+((182.95^2+28404.4)^(1/2)+182.95)/2 = 0 // - ((182.95^2+28404.4)^(1/2)+182.95)/2

x = -(((182.95^2+28404.4)^(1/2)+182.95)/2)

( x-(((182.95^2+28404.4)^(1/2)-182.95)/2) )

x-(((182.95^2+28404.4)^(1/2)-182.95)/2) = 0 // + ((182.95^2+28404.4)^(1/2)-182.95)/2

x = ((182.95^2+28404.4)^(1/2)-182.95)/2

x in { -(((182.95^2+28404.4)^(1/2)+182.95)/2), ((182.95^2+28404.4)^(1/2)-182.95)/2 }

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