7/x=1/2x+26

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Solution for 7/x=1/2x+26 equation:


D( x )

x = 0

x = 0

x = 0

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

7/x = (1/2)*x+26 // - (1/2)*x+26

7/x-((1/2)*x)-26 = 0

(-1/2)*x+7/x-26 = 0

7*x^-1-1/2*x^1-26*x^0 = 0

(7*x^0-1/2*x^2-26*x^1)/(x^1) = 0 // * x^2

x^1*(7*x^0-1/2*x^2-26*x^1) = 0

x^1

(-1/2)*x^2-26*x+7 = 0

(-1/2)*x^2-26*x+7 = 0

DELTA = (-26)^2-(4*7*(-1/2))

DELTA = 690

DELTA > 0

x = (690^(1/2)+26)/(2*(-1/2)) or x = (26-690^(1/2))/(2*(-1/2))

x = -(690^(1/2)+26) or x = 690^(1/2)-26

x in { -(690^(1/2)+26), 690^(1/2)-26}

x in { -(690^(1/2)+26), 690^(1/2)-26 }

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