4/x-x/2=7/2

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Solution for 4/x-x/2=7/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

4/x-(x/2)-(7/2) = 0

4/x-(x/2)-7/2 = 0

4*x^-1-1/2*x^1-7/2*x^0 = 0

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

x^1*(4*x^0-1/2*x^2-7/2*x^1) = 0

x^1

(-1/2)*x^2+(-7/2)*x+4 = 0

(-1/2)*x^2+(-7/2)*x+4 = 0

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

DELTA = 81/4

DELTA > 0

x = ((81/4)^(1/2)-(-7/2))/(2*(-1/2)) or x = (-(-7/2)-(81/4)^(1/2))/(2*(-1/2))

x = -8 or x = 1

x in { -8, 1} 

x in { -8, 1 }

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