7+1/x=2x

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Solution for 7+1/x=2x equation:


D( x )

x = 0

x = 0

x = 0

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

1/x+7 = 2*x // - 2*x

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

1/x-2*x+7 = 0

1*x^-1-2*x^1+7*x^0 = 0

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

x^1*(7*x^1-2*x^2+1*x^0) = 0

x^1

7*x-2*x^2+1 = 0

7*x-2*x^2+1 = 0

DELTA = 7^2-(-2*1*4)

DELTA = 57

DELTA > 0

x = (57^(1/2)-7)/(-2*2) or x = (-57^(1/2)-7)/(-2*2)

x = (57^(1/2)-7)/(-4) or x = (57^(1/2)+7)/4

x in { (57^(1/2)-7)/(-4), (57^(1/2)+7)/4}

x in { (57^(1/2)-7)/(-4), (57^(1/2)+7)/4 }

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