150/x=31-x

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Solution for 150/x=31-x equation: 


D( x )

x = 0

x = 0

x = 0

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

150/x = 31-x // - 31-x

x+150/x-31 = 0

1*x^1+150*x^-1-31*x^0 = 0

(1*x^2-31*x^1+150*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-31*x^1+150*x^0) = 0

x^1

x^2-31*x+150 = 0

x^2-31*x+150 = 0

DELTA = (-31)^2-(1*4*150)

DELTA = 361

DELTA > 0

x = (361^(1/2)+31)/(1*2) or x = (31-361^(1/2))/(1*2)

x = 25 or x = 6

x in { 6, 25} 

x in { 6, 25 }

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