x-7/x-4+2/5

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Solution for x-7/x-4+2/5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(7/x)+2/5-4 = 0

x-7*x^-1+2/5-4 = 0

1*x^1-7*x^-1-18/5*x^0 = 0

(1*x^2-18/5*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-18/5*x^1-7*x^0) = 0

x^1

x^2+(-18/5)*x-7 = 0

x^2+(-18/5)*x-7 = 0

DELTA = (-18/5)^2-(-7*1*4)

DELTA = 1024/25

DELTA > 0

x = ((1024/25)^(1/2)-(-18/5))/(1*2) or x = (-(-18/5)-(1024/25)^(1/2))/(1*2)

x = 5 or x = -7/5

x in { -7/5, 5} 

x in { -7/5, 5 }

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