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what multiply -48 but adds to 13

Guest May 17, 2017
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 #1
avatar+77022 
+2

 

x * y  = - 48      (1)

x + y  =  13  →  y = 13 - x     (2)

 

Sub  (2)  into (1)

 

x ( 13 - x)  =  -48

 

13x - x^2  = -48  rearrange as

 

x^2 - 13x - 48  = 0         factor

 

(x - 16) ( x + 3)   = 0         set each factor to 0  and solve for x

 

x - 16   = 0                                x + 3   = 0

 

add 16 to both sides                   subtract 3 from both sides

 

x =  16                                        x  =  -3

 

Using  (2) to  find y

 

y =  13 - 16  =  -3                    y  =  13 - (-3)   = 16

 

So......the two numbers  are  16  and -3

 

 

 

cool cool cool

CPhill  May 17, 2017

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