7/2x=3/x-5

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 67

DELTA > 0

x = (67^(1/2)-5)/(2*(7/2)) or x = (-67^(1/2)-5)/(2*(7/2))

x = (67^(1/2)-5)/7 or x = (-(67^(1/2)+5))/7

x in { (-(67^(1/2)+5))/7, (67^(1/2)-5)/7}

x in { (-(67^(1/2)+5))/7, (67^(1/2)-5)/7 }

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