y=(12-x)/(2x^2)

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Solution for y=(12-x)/(2x^2) equation:


D( x )

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0 // : 2

x^2 = 0

x = 0

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

y = (12-x)/(2*x^2) // - (12-x)/(2*x^2)

y-((12-x)/(2*x^2)) = 0

(-1*(12-x))/(2*x^2)+y = 0

(-1*(12-x))/(2*x^2)+(2*x^2*y)/(2*x^2) = 0

2*x^2*y-1*(12-x) = 0

x+2*x^2*y-12 = 0

(x+2*x^2*y-12)/(2*x^2) = 0

(x+2*x^2*y-12)/(2*x^2) = 0 // * 2*x^2

x+2*x^2*y-12 = 0

x+2*x^2*y-12 = 0

DELTA = 1^2-(-12*2*4*y)

DELTA = 96*y+1

96*y+1 = 0

96*y+1 = 0 // - 1

96*y = -1 // : 96

y = -1/96

DELTA = 0 <=> t_3 = -1/96

x = -1/(2*2*y) i y = -1/96

x = -1/(4*y) i y = -1/96

( x = ((96*y+1)^(1/2)-1)/(2*2*y) or x = (-(96*y+1)^(1/2)-1)/(2*2*y) ) i y > -1/96

( x = ((96*y+1)^(1/2)-1)/(4*y) or x = (-1/4)*y^-1*((96*y+1)^(1/2)+1) ) i y > -1/96

y-(-1/96) > 0

y+1/96 > 0

y+1/96 > 0 // - 1/96

y > -1/96

x in { -1/(4*y), ((96*y+1)^(1/2)-1)/(4*y), (-1/4)*y^-1*((96*y+1)^(1/2)+1) }

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