2x-7/x=17/5

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Solution for 2x-7/x=17/5 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(7/x) = 17/5 // - 17/5

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

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

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

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

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

x^1

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

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

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

DELTA = 1689/25

DELTA > 0

x = ((1689/25)^(1/2)-(-17/5))/(2*2) or x = (-(-17/5)-(1689/25)^(1/2))/(2*2)

x = ((1689/25)^(1/2)+17/5)/4 or x = (17/5-(1689/25)^(1/2))/4

x in { (17/5-(1689/25)^(1/2))/4, ((1689/25)^(1/2)+17/5)/4} 

x in { (17/5-(1689/25)^(1/2))/4, ((1689/25)^(1/2)+17/5)/4 }

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