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Posers and Puzzles
Joined 20 Jan '07 Moves 1005 If xy*y + ty +z = 0,
Find y.
Joined 19 Jan '07 Moves 1793 Originally posted by GinoJ
If xy*y + ty +z = 0,
Find y. y= (-t +or- sqrt(t^2-4*x*z))/(2x) -the quadriatic formula
correct?
Edit: I forgot some brackets
Joined 15 Feb '07 Moves 667 The quadratic formula suggests 2 solutions.
(-t - sqrt( t*t - 4*x*z)) / (2* x)
(-t + sqrt( t*t - 4*x*z)) / (2* x)
Derived by making a perfect square in order to remove the square function
x*y*y + t*y + z = 0
y*y + t*y/x + z/x = 0
y*y + t*y/x = -z/x
y*y + t*y/x + t*t/(4*x*x) = t*t/(4*x*x) - z/x
(y + t/(2*x))^2 = t*t/(4*x*x) - z/x
y + t/(2*x) = +- sqrt(t*t/(4*x*x) - z/x)
y + t/(2*x) = +- sqrt((t*t - 4*x*z)/(4*x*x))
y + t/(2*x) = 1/(2*x)*+- sqrt(t*t - 4*x*z)
y= -t/(2*x) +- sqrt(t*t - 4*x*z)/(2*x)
y= (-t +- sqrt(t*t - 4*x*z))/(2*x)
Joined 06 Jul '06 Moves 1163 Originally posted by geepamoogle
The quadratic formula suggests 2 solutions.
(-t - sqrt( t*t - 4*x*z)) / (2* x)
(-t + sqrt( t*t - 4*x*z)) / (2* x)
Derived by making a perfect square in order to remove the square function
x*y*y + t*y + z = 0
y*y + t*y/x + z/x = 0
y*y + t*y/x = -z/x
y*y + t*y/x + t*t/(4*x*x) = t*t/(4*x*x) - z/x
(y + t/(2*x))^2 = t*t/(4*x*x) - z/x
y + t/(2*x ...[text shortened]... +- sqrt(t*t - 4*x*z)
y= -t/(2*x) +- sqrt(t*t - 4*x*z)/(2*x)
y= (-t +- sqrt(t*t - 4*x*z))/(2*x) i don't even know who you are or where your from but i cn tell from your above post that you really really need to get out more and that your single
Earth Prime
Joined 16 Mar '05 Moves 35265 Originally posted by iraqi insurgent
i don't even know who you are or where your from but i cn tell from your above post that you really really need to get out more and that your single Perhaps you should stay in a day and study grammar.
Joined 20 Jan '07 Moves 1005 Originally posted by GinoJ
If xy*y + ty +z = 0,
Find y. (x)y*y + (t)y + (z) = 0
m*m = t*t - 4xz
(-t +/- m)/2x=y
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