2x+5/x-3=4x+1/2x

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Solution for 2x+5/x-3=4x+1/2x equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 59

DELTA > 0

x = (59^(1/2)+3)/(2*(-5/2)) or x = (3-59^(1/2))/(2*(-5/2))

x = (59^(1/2)+3)/(-5) or x = (3-59^(1/2))/(-5)

x in { (59^(1/2)+3)/(-5), (3-59^(1/2))/(-5)}

x in { (59^(1/2)+3)/(-5), (3-59^(1/2))/(-5) }

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