2x/5-23/5=-9/x

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Solution for 2x/5-23/5=-9/x equation:


D( x )

x = 0

x = 0

x = 0

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

(2*x)/5-(23/5) = -9/x // + -9/x

(2*x)/5-(-9/x)-(23/5) = 0

(2*x)/5+9*x^-1-23/5 = 0

2/5*x^1+9*x^-1-23/5*x^0 = 0

(2/5*x^2-23/5*x^1+9*x^0)/(x^1) = 0 // * x^2

x^1*(2/5*x^2-23/5*x^1+9*x^0) = 0

x^1

(2/5)*x^2+(-23/5)*x+9 = 0

(2/5)*x^2+(-23/5)*x+9 = 0

DELTA = (-23/5)^2-(4*9*(2/5))

DELTA = 169/25

DELTA > 0

x = ((169/25)^(1/2)-(-23/5))/(2*(2/5)) or x = (-(-23/5)-(169/25)^(1/2))/(2*(2/5))

x = 9 or x = 5/2

x in { 5/2, 9}

x in { 5/2, 9 }

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