4/5x-2/x+3/10

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Solution for 4/5x-2/x+3/10 equation: 


D( x )

x = 0

x = 0

x = 0

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

(4/5)*x-(2/x)+3/10 = 0

(4/5)*x-2*x^-1+3/10 = 0

4/5*x^1-2*x^-1+3/10*x^0 = 0

(4/5*x^2+3/10*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(4/5*x^2+3/10*x^1-2*x^0) = 0

x^1

(4/5)*x^2+(3/10)*x-2 = 0

(4/5)*x^2+(3/10)*x-2 = 0

DELTA = (3/10)^2-(-2*4*(4/5))

DELTA = 649/100

DELTA > 0

x = ((649/100)^(1/2)-(3/10))/(2*(4/5)) or x = (-(3/10)-(649/100)^(1/2))/(2*(4/5))

x = 5/8*((649/100)^(1/2)-3/10) or x = -5/8*((649/100)^(1/2)+3/10)

x in { -5/8*((649/100)^(1/2)+3/10), 5/8*((649/100)^(1/2)-3/10)} 

x in { -5/8*((649/100)^(1/2)+3/10), 5/8*((649/100)^(1/2)-3/10) }

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