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Real numbers X and Y satisfy

\(\begin{align*} x + xy^2 &= 250y, \\ x - xy^2 &= -240y. \end{align*}\)

Enter all possible values of X separated by commas.

 Mar 7, 2021
 #1
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+1

From first equation     y/x  = (1+y^2) /250

From second equation   y/x = (1-y^2)/ (-240)          Equate these two equations  to solve for y = +- 7

                                                                              sub in these values of y to calculate possible values of 'x'

 Mar 7, 2021

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