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avatar+299 

Solve the system of equations.

 

y=x+6

y=x^2+8x+16

 

Enter your answers in the boxes.

(__,__ ) or (__,__ )

 

Thanks!

 May 16, 2019
 #1
avatar+103982 
+1

y = x + 6        y  = x^2 + 8x + 16

 

Set the y's equal and we have that

 

x^2 + 8x + 16  =  x + 6       rearrange as

 

x^2 + 7x + 10     =  0          factor

 

(x + 5) (x + 2)  =  0         set each factor to 0  and solve for x and we get that

 

x = - 5     and x = -2

 

And y  =  -5 + 6  = 1     or  y  =  -2 + 6  = 4

 

So....the solutions are   (-5, 1)   and (-2,  -4)

 

THX to hectictar for spotting my earlier errors!!!!

 

 

cool cool cool

 May 16, 2019
edited by CPhill  May 16, 2019
 #2
avatar+917 
+2

Another way through graphing

They intersect at (-5, 1) and (-2, 4)

 

You are very welcome!

:P

 May 17, 2019

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