7/x+9=5/2x+10/3

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Solution for 7/x+9=5/2x+10/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x+9 = (5/2)*x+10/3 // - (5/2)*x+10/3

7/x-((5/2)*x)-(10/3)+9 = 0

(-5/2)*x+7/x-10/3+9 = 0

7*x^-1-5/2*x^1+17/3*x^0 = 0

(17/3*x^1-5/2*x^2+7*x^0)/(x^1) = 0 // * x^2

x^1*(17/3*x^1-5/2*x^2+7*x^0) = 0

x^1

(-5/2)*x^2+(17/3)*x+7 = 0

(-5/2)*x^2+(17/3)*x+7 = 0

DELTA = (17/3)^2-(4*7*(-5/2))

DELTA = 919/9

DELTA > 0

x = ((919/9)^(1/2)-(17/3))/(2*(-5/2)) or x = (-(17/3)-(919/9)^(1/2))/(2*(-5/2))

x = ((919/9)^(1/2)-17/3)/(-5) or x = ((919/9)^(1/2)+17/3)/5

x in { ((919/9)^(1/2)-17/3)/(-5), ((919/9)^(1/2)+17/3)/5} 

x in { ((919/9)^(1/2)-17/3)/(-5), ((919/9)^(1/2)+17/3)/5 }

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