1.245=(217+x)/(13.2-x)(32.8-x)

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Solution for 1.245=(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)

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

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

(-1*(x+217)*(32.8-x))/(13.2-x)+1.245 = 0

(-1*(x+217)*(32.8-x))/(13.2-x)+(1.245*(13.2-x))/(13.2-x) = 0

1.245*(13.2-x)-1*(x+217)*(32.8-x) = 0

x^2+182.955*x-7101.166 = 0

x^2+182.955*x-7101.166 = 0

x^2+182.955*x-7101.166 = 0

DELTA = 182.955^2-(-7101.166*1*4)

DELTA = 182.955^2+28404.664

DELTA = 61877.196025

DELTA > 0

x = ((182.955^2+28404.664)^(1/2)-182.955)/(1*2) or x = (-(182.955^2+28404.664)^(1/2)-182.955)/(1*2)

x = ((182.955^2+28404.664)^(1/2)-182.955)/2 or x = (-((182.955^2+28404.664)^(1/2)+182.955))/2

(x+((182.955^2+28404.664)^(1/2)+182.955)/2)*(x-(((182.955^2+28404.664)^(1/2)-182.955)/2)) = 0

((x+((182.955^2+28404.664)^(1/2)+182.955)/2)*(x-(((182.955^2+28404.664)^(1/2)-182.955)/2)))/(13.2-x) = 0

((x+((182.955^2+28404.664)^(1/2)+182.955)/2)*(x-(((182.955^2+28404.664)^(1/2)-182.955)/2)))/(13.2-x) = 0 // * 13.2-x

(x+((182.955^2+28404.664)^(1/2)+182.955)/2)*(x-(((182.955^2+28404.664)^(1/2)-182.955)/2)) = 0

( x+((182.955^2+28404.664)^(1/2)+182.955)/2 )

x+((182.955^2+28404.664)^(1/2)+182.955)/2 = 0 // - ((182.955^2+28404.664)^(1/2)+182.955)/2

x = -(((182.955^2+28404.664)^(1/2)+182.955)/2)

( x-(((182.955^2+28404.664)^(1/2)-182.955)/2) )

x-(((182.955^2+28404.664)^(1/2)-182.955)/2) = 0 // + ((182.955^2+28404.664)^(1/2)-182.955)/2

x = ((182.955^2+28404.664)^(1/2)-182.955)/2

x in { -(((182.955^2+28404.664)^(1/2)+182.955)/2), ((182.955^2+28404.664)^(1/2)-182.955)/2 }

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