7/x=x/28

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Solution for 7/x=x/28 equation:


D( x )

x = 0

x = 0

x = 0

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

7/x = x/28 // - x/28

7/x-(x/28) = 0

7*x^-1-1/28*x^1 = 0

(7*x^0-1/28*x^2)/(x^1) = 0 // * x^2

x^1*(7*x^0-1/28*x^2) = 0

x^1

(-1/28)*x^2+7 = 0

(-1/28)*x^2+7 = 0

DELTA = 0^2-(4*7*(-1/28))

DELTA = 1

DELTA > 0

x = (1^(1/2)+0)/(2*(-1/28)) or x = (0-1^(1/2))/(2*(-1/28))

x = -14 or x = 14

x in { -14, 14}

x in { -14, 14 }

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