5x=3/x-7/2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 289/4

DELTA > 0

x = ((289/4)^(1/2)-(7/2))/(2*5) or x = (-(7/2)-(289/4)^(1/2))/(2*5)

x = 1/2 or x = -6/5

x in { -6/5, 1/2} 

x in { -6/5, 1/2 }

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