x/2=7/x-5/2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

DELTA = (5/2)^2-(-7*4*(1/2))

DELTA = 81/4

DELTA > 0

x = ((81/4)^(1/2)-(5/2))/(2*(1/2)) or x = (-(5/2)-(81/4)^(1/2))/(2*(1/2))

x = 2 or x = -7

x in { -7, 2} 

x in { -7, 2 }

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