3/2x=5/x-7

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Solution for 3/2x=5/x-7 equation:


D( x )

x = 0

x = 0

x = 0

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

(3/2)*x = 5/x-7 // - 5/x-7

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

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

3/2*x^1-5*x^-1+7*x^0 = 0

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

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

x^1

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

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

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

DELTA = 79

DELTA > 0

x = (79^(1/2)-7)/(2*(3/2)) or x = (-79^(1/2)-7)/(2*(3/2))

x = (79^(1/2)-7)/3 or x = (-(79^(1/2)+7))/3

x in { (-(79^(1/2)+7))/3, (79^(1/2)-7)/3}

x in { (-(79^(1/2)+7))/3, (79^(1/2)-7)/3 }

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