## anonymous one year ago Medal & fan. Determine the solution set of (x + 2)^2 = 36. Would i use foil here?

1. freckles

Take square root of both sides.

2. freckles

you will wind up with two equations to solve x+2=6 or x+2=-6

3. anonymous

x=4 or x=-4?

4. hybrik

Yes, x = + or - 4 [Also known as -4,4]

5. anonymous

answer choices are: a.) (6,-8) b.) (4,-8) c.) (4,-6)

6. hybrik

What is the square root of 36?

7. anonymous

$\pm6$

8. anonymous

in this case negative

9. hybrik

So find what x+2 = 6 and x-2 = 6, solve and you get, x=4, and x=8

10. anonymous

its for sure positive 8?

11. hybrik

4,-8

12. anonymous

oh okay

13. freckles

$x+2=6 \text{ or } x+2=-6 \\ \text{ subtracting 2 on both sides gives } \\ x=6-2 \text{ or } x=-6-2 \\ x=4 \text{ or } x=-8$

14. freckles

not 8

15. freckles

pluggin in 8 yields (8+2)^2=36 which is not a true equation

16. freckles

(4+2)^2=36 is true (-8+2)^2=36 is also true @yungjvke