## abz_tech 4 years ago express x² + 10x + 32 in the form (x + a)² + b where a, b = N

1. abz_tech

$a, b \in \mathbb{N}$

2. Math_Kills

I'm not sure but I'll try - I think it might go like this.

3. Math_Kills

(x|dw:1316456509340:dw|

4. abz_tech

whered u get ''25'' :o?

5. Math_Kills

6. Math_Kills

When converting from x^2+10x+32 to the form of (x+#)^2 + # you have to take the middle number which in this case is 10. You divide it by 2, which is 5, then you square that answer (5)^2

7. abz_tech

ah ok

8. Math_Kills

ur original form was standard form, and the middle number is called "b" - so the rule is to change from standard form to that new form you need to do this (b/2)^2

9. Math_Kills

That's where the 25 comes from - once you have the 25 you can actually convert the form to that new form.

10. abz_tech

think i get it now, thx man :P

11. Math_Kills

Do you want me to draw out the answer in better detail, just to be sure you get it?

12. abz_tech

na its ok, i know how to do the sum, but was stuck with the ''10''

13. Math_Kills

Oh okay then - : )