100+10x=180/x+100+5x

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Solution for 100+10x=180/x+100+5x equation:


D( x )

x = 0

x = 0

x = 0

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

10*x+100 = 5*x+180/x+100 // - 5*x+180/x+100

10*x-(5*x)-(180/x)-100+100 = 0

10*x-5*x-180*x^-1-100+100 = 0

5*x^1-180*x^-1 = 0

(5*x^2-180*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-180*x^0) = 0

x^1

5*x^2-180 = 0

5*x^2-180 = 0

DELTA = 0^2-(-180*4*5)

DELTA = 3600

DELTA > 0

x = (3600^(1/2)+0)/(2*5) or x = (0-3600^(1/2))/(2*5)

x = 6 or x = -6

x in { -6, 6}

x in { -6, 6 }

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