y=4/(6-x)^2

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Solution for y=4/(6-x)^2 equation: 


D( x )

(6-x)^2 = 0

(6-x)^2 = 0

(6-x)^2 = 0

6-x = 0 // - 6

-x = -6 // * -1

x = 6

x in (-oo:6) U (6:+oo)

y = 4/((6-x)^2) // - 4/((6-x)^2)

y-(4/((6-x)^2)) = 0

y-4*(6-x)^-2 = 0

y-4/((6-x)^2) = 0

(y*(6-x)^2)/((6-x)^2)-4/((6-x)^2) = 0

y*(6-x)^2-4 = 0

x^2*y-12*x*y+36*y-4 = 0

(x^2*y-12*x*y+36*y-4)/((6-x)^2) = 0

(x^2*y-12*x*y+36*y-4)/((6-x)^2) = 0 // * (6-x)^2

x^2*y-12*x*y+36*y-4 = 0

x^2*y-12*x*y+36*y-4 = 0

DELTA = (-12*y)^2-(4*y*(36*y-4))

DELTA = 144*y^2-4*y*(36*y-4)

144*y^2-4*y*(36*y-4) = 0

144*y^2-4*y*(36*y-4) = 0

16*y = 0

16*y = 0

16*y = 0 // : 16

y = 0

DELTA = 0  <=>  t_3 = 0

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

x = 6 i y = 0

( x = ((144*y^2-4*y*(36*y-4))^(1/2)-(-12*y))/(2*y) or x = (-(144*y^2-4*y*(36*y-4))^(1/2)-(-12*y))/(2*y) ) i y > 0

( x = ((144*y^2-4*y*(36*y-4))^(1/2)+12*y)/(2*y) or x = (12*y-(144*y^2-4*y*(36*y-4))^(1/2))/(2*y) ) i y > 0

y+0 > 0

y > 0

y+0 > 0 // - 0

y > 0

x in { 6 i y -> {0}} 

x in { ((144*y^2-4*y*(36*y-4))^(1/2)+12*y)/(2*y), (12*y-(144*y^2-4*y*(36*y-4))^(1/2))/(2*y) }

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