anonymous 4 years ago x+square root of x=12

1. anonymous

That's not even the right question Kushash..

2. anonymous

$x+\sqrt{x}=12$

3. anonymous

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

4. anonymous

1 subtract x from both side 2 square both side

5. anonymous

my thingy got cut off

6. anonymous

Multiple lines is easier to read.

7. anonymous

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

8. anonymous

yes,

9. anonymous

what add up to -24 and multiplies to 144?

10. anonymous

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

11. anonymous

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

12. anonymous

i think it should be -25x in the middle

13. anonymous

thats what i thought monkey

14. anonymous

because you still have that other x on the left side

15. anonymous

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

16. anonymous

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

17. anonymous

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

18. anonymous

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

19. anonymous

so then i should use the quadratic equation to solve?

20. anonymous

you can do factoring

21. anonymous

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

22. anonymous

x = 9,16

23. anonymous

you guys are awesome thank you

24. anonymous

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.