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Real numbers x and y satisfy. 

 

xy^2 = 240y

x^2*y^2 = -250y

 

Enter all possible values of  x separated by commas.

 Jan 28, 2021
 #1
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\(x = {\frac{-25}{4}}\)

.
 Jan 28, 2021
 #2
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+1

xy^2     = 240y

xy =  240

x^2y^2    = 240^2

 

 

So

 

x^2y^2 =  -250y

240^2  =  -250y

y = 240^2 / -250   = -1152/5

 

So

 

xy  = 240

x (-1152/5)    = 240

x  = 240  (-5/1152)   =  -25/24

 

 

cool cool cool

 Jan 28, 2021

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