7/x-3/4x=5

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Solution for 7/x-3/4x=5 equation:


D( x )

x = 0

x = 0

x = 0

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

7/x-((3/4)*x) = 5 // - 5

7/x-((3/4)*x)-5 = 0

(-3/4)*x+7/x-5 = 0

7*x^-1-3/4*x^1-5*x^0 = 0

(7*x^0-3/4*x^2-5*x^1)/(x^1) = 0 // * x^2

x^1*(7*x^0-3/4*x^2-5*x^1) = 0

x^1

(-3/4)*x^2-5*x+7 = 0

(-3/4)*x^2-5*x+7 = 0

DELTA = (-5)^2-(4*7*(-3/4))

DELTA = 46

DELTA > 0

x = (46^(1/2)+5)/(2*(-3/4)) or x = (5-46^(1/2))/(2*(-3/4))

x = -2/3*(46^(1/2)+5) or x = -2/3*(5-46^(1/2))

x in { -2/3*(46^(1/2)+5), -2/3*(5-46^(1/2))}

x in { -2/3*(46^(1/2)+5), -2/3*(5-46^(1/2)) }

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