(180x-900)/(x)(x-11)=4

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Solution for (180x-900)/(x)(x-11)=4 equation: 


D( x )

x = 0

x = 0

x = 0

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

((180*x-900)/x)*(x-11) = 4 // - 4

((180*x-900)/x)*(x-11)-4 = 0

((180*x-900)*(x-11))/x-4 = 0

((180*x-900)*(x-11))/x+(-4*x)/x = 0

(180*x-900)*(x-11)-4*x = 0

180*x^2-2884*x+9900 = 0

180*x^2-2884*x+9900 = 0

4*(45*x^2-721*x+2475) = 0

45*x^2-721*x+2475 = 0

DELTA = (-721)^2-(4*45*2475)

DELTA = 74341

DELTA > 0

x = (74341^(1/2)+721)/(2*45) or x = (721-74341^(1/2))/(2*45)

x = (74341^(1/2)+721)/90 or x = (721-74341^(1/2))/90

4*(x-((721-74341^(1/2))/90))*(x-((74341^(1/2)+721)/90)) = 0

(4*(x-((721-74341^(1/2))/90))*(x-((74341^(1/2)+721)/90)))/x = 0

(4*(x-((721-74341^(1/2))/90))*(x-((74341^(1/2)+721)/90)))/x = 0 // * x

4*(x-((721-74341^(1/2))/90))*(x-((74341^(1/2)+721)/90)) = 0

( 4 )

4 = 0

x belongs to the empty set

( x-((721-74341^(1/2))/90) )

x-((721-74341^(1/2))/90) = 0 // + (721-74341^(1/2))/90

x = (721-74341^(1/2))/90

( x-((74341^(1/2)+721)/90) )

x-((74341^(1/2)+721)/90) = 0 // + (74341^(1/2)+721)/90

x = (74341^(1/2)+721)/90

x in { (721-74341^(1/2))/90, (74341^(1/2)+721)/90 }

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