X/(7-x)=2x

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Solution for X/(7-x)=2x equation:


D( x )

7-x = 0

7-x = 0

7-x = 0

7-x = 0 // - 7

-x = -7 // * -1

x = 7

x in (-oo:7) U (7:+oo)

X/(7-x) = 2*x // - 2*x

X/(7-x)-(2*x) = 0

X/(7-x)-2*x = 0

X/(7-x)+(-2*x*(7-x))/(7-x) = 0

X-2*x*(7-x) = 0

X+2*x^2-14*x = 0

(X+2*x^2-14*x)/(7-x) = 0

(X+2*x^2-14*x)/(7-x) = 0 // * 7-x

X+2*x^2-14*x = 0

X+2*x^2-14*x = 0

DELTA = (-14)^2-(2*4*X)

DELTA = 196-8*X

196-8*X = 0

196-8*X = 0 // - 196

-8*X = -196 // : -8

X = -196/(-8)

X = 49/2

DELTA = 0 <=> t_3 = 49/2

x = 14/(2*2) i X = 49/2

x = 7/2 i X = 49/2

( x = ((196-8*X)^(1/2)+14)/(2*2) or x = (14-(196-8*X)^(1/2))/(2*2) ) i X > 49/2

( x = ((196-8*X)^(1/2)+14)/4 or x = (14-(196-8*X)^(1/2))/4 ) i X > 49/2

X-49/2 > 0

X-49/2 > 0 // + 49/2

X > 49/2

x in { 7/2, ((196-8*X)^(1/2)+14)/4, (14-(196-8*X)^(1/2))/4 }

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