4x-13/x=3/2

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Solution for 4x-13/x=3/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(13/x) = 3/2 // - 3/2

4*x-(13/x)-(3/2) = 0

4*x-13*x^-1-3/2 = 0

4*x^1-13*x^-1-3/2*x^0 = 0

(4*x^2-3/2*x^1-13*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-3/2*x^1-13*x^0) = 0

x^1

4*x^2+(-3/2)*x-13 = 0

4*x^2+(-3/2)*x-13 = 0

DELTA = (-3/2)^2-(-13*4*4)

DELTA = 841/4

DELTA > 0

x = ((841/4)^(1/2)-(-3/2))/(2*4) or x = (-(-3/2)-(841/4)^(1/2))/(2*4)

x = 2 or x = -13/8

x in { -13/8, 2} 

x in { -13/8, 2 }

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