## lovehandles 4 years ago x+square root of x=12

1. polpak

That's not even the right question Kushash..

2. imranmeah91

$x+\sqrt{x}=12$

3. monkey131

$\sqrt{x}=12-x=>(\sqrt{x})^2=(12-x)^2=>x=144-24x+x^2$

4. imranmeah91

1 subtract x from both side 2 square both side

5. monkey131

my thingy got cut off

6. polpak

Multiple lines is easier to read.

7. lovehandles

do i factor 0=x^2-24x+144

8. imranmeah91

yes,

9. imranmeah91

what add up to -24 and multiplies to 144?

10. polpak

kushash.. That is not the right problem. Seriously. Stop spamming.

11. sparrowjay

kushashwa is half right. x can be 9. he put the answer for root(x).

12. monkey131

i think it should be -25x in the middle

13. lovehandles

thats what i thought monkey

14. lovehandles

because you still have that other x on the left side

15. polpak

You can either factor it, or use the quadratic equation.

16. monkey131

right and if you subract that x on both sides you have -24x-x

17. lovehandles

in which case it is 0=x^2-25x+144 which makes it more difficult

18. monkey131

x^2-24x-x+144=0

19. lovehandles

so then i should use the quadratic equation to solve?

20. monkey131

you can do factoring

21. monkey131

(x-9)(x-16)=0

22. Rizaldo

x = 9,16

23. lovehandles

you guys are awesome thank you

24. polpak

If it is something you cannot factor easily, using the quadratic formula always works. Even if it's factorable, sometimes you can't figure it out.