y=1/5x+5-3/x+1+7/5

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Solution for y=1/5x+5-3/x+1+7/5 equation:


D( x )

x = 0

x = 0

x = 0

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

y = (1/5)*x-(3/x)+7/5+1+5 // - (1/5)*x-(3/x)+7/5+1+5

3/x-((1/5)*x)+y-(7/5)-5-1 = 0

(-1/5)*x+3/x+y-7/5-5-1 = 0

3*x^-1-1/5*x^1-37/5*x^0 = 0

(3*x^0-1/5*x^2-37/5*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-1/5*x^2-37/5*x^1) = 0

x^1

(-1/5)*x^2+(-37/5)*x+3 = 0

(-1/5)*x^2+(-37/5)*x+3 = 0

DELTA = (-37/5)^2-(3*4*(-1/5))

DELTA = 1429/25

DELTA > 0

x = ((1429/25)^(1/2)-(-37/5))/(2*(-1/5)) or x = (-(-37/5)-(1429/25)^(1/2))/(2*(-1/5))

x = -5/2*((1429/25)^(1/2)+37/5) or x = -5/2*(37/5-(1429/25)^(1/2))

x in { -5/2*((1429/25)^(1/2)+37/5), -5/2*(37/5-(1429/25)^(1/2))}

x in { -5/2*((1429/25)^(1/2)+37/5), -5/2*(37/5-(1429/25)^(1/2)) }

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