(84-x)^2/x=4.31

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Solution for (84-x)^2/x=4.31 equation:


D( x )

x = 0

x = 0

x = 0

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

((84-x)^2)/x = 4.31 // - 4.31

((84-x)^2)/x-4.31 = 0

((84-x)^2)/x+(-4.31*x)/x = 0

(84-x)^2-4.31*x = 0

x^2-172.31*x+7056 = 0

x^2-172.31*x+7056 = 0

x^2-172.31*x+7056 = 0

DELTA = (-172.31)^2-(1*4*7056)

DELTA = 172.31^2-28224

DELTA = 1466.7361

DELTA > 0

x = ((172.31^2-28224)^(1/2)+172.31)/(1*2) or x = (172.31-(172.31^2-28224)^(1/2))/(1*2)

x = ((172.31^2-28224)^(1/2)+172.31)/2 or x = (172.31-(172.31^2-28224)^(1/2))/2

(x-((172.31-(172.31^2-28224)^(1/2))/2))*(x-(((172.31^2-28224)^(1/2)+172.31)/2)) = 0

((x-((172.31-(172.31^2-28224)^(1/2))/2))*(x-(((172.31^2-28224)^(1/2)+172.31)/2)))/x = 0

((x-((172.31-(172.31^2-28224)^(1/2))/2))*(x-(((172.31^2-28224)^(1/2)+172.31)/2)))/x = 0 // * x

(x-((172.31-(172.31^2-28224)^(1/2))/2))*(x-(((172.31^2-28224)^(1/2)+172.31)/2)) = 0

( x-(((172.31^2-28224)^(1/2)+172.31)/2) )

x-(((172.31^2-28224)^(1/2)+172.31)/2) = 0 // + ((172.31^2-28224)^(1/2)+172.31)/2

x = ((172.31^2-28224)^(1/2)+172.31)/2

( x-((172.31-(172.31^2-28224)^(1/2))/2) )

x-((172.31-(172.31^2-28224)^(1/2))/2) = 0 // + (172.31-(172.31^2-28224)^(1/2))/2

x = (172.31-(172.31^2-28224)^(1/2))/2

x in { ((172.31^2-28224)^(1/2)+172.31)/2, (172.31-(172.31^2-28224)^(1/2))/2 }

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