3/x-1/7=1/2x-3/4

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Solution for 3/x-1/7=1/2x-3/4 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

3*x^-1-1/2*x^1+17/28*x^0 = 0

(17/28*x^1-1/2*x^2+3*x^0)/(x^1) = 0 // * x^2

x^1*(17/28*x^1-1/2*x^2+3*x^0) = 0

x^1

(-1/2)*x^2+(17/28)*x+3 = 0

(-1/2)*x^2+(17/28)*x+3 = 0

DELTA = (17/28)^2-(3*4*(-1/2))

DELTA = 4993/784

DELTA > 0

x = ((4993/784)^(1/2)-(17/28))/(2*(-1/2)) or x = (-(17/28)-(4993/784)^(1/2))/(2*(-1/2))

x = 17/28-(4993/784)^(1/2) or x = (4993/784)^(1/2)+17/28

x in { 17/28-(4993/784)^(1/2), (4993/784)^(1/2)+17/28}

x in { 17/28-(4993/784)^(1/2), (4993/784)^(1/2)+17/28 }

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