Solve the system of equations.

**y=x+6**

**y=x^2+8x+16**

Enter your answers in the boxes.

(__,__ ) or (__,__ )

Thanks!

Johnnyboy May 16, 2019

#1**+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!!!!

CPhill May 16, 2019

#2**+2 **

Another way through graphing

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

You are very welcome!

:P

CoolStuffYT May 17, 2019