## anonymous one year ago Please Help! I Need Explanation & Help On How To Do This!!!! Medal and Fan?!?!

1. anonymous

√(8x+1)=5

2. anonymous

i need to solve for x and identify if it is an extraneous solution.

3. anonymous

Is it $$\huge \sqrt{8x+1}=5$$ ?

4. anonymous

yes

5. anonymous

$$\huge (\sqrt{8x+1})^2=(5)^2$$

6. anonymous

where did you get the power of 2?

7. anonymous

So you square both sides to remove the radical sign.

8. anonymous

ohhhh nvm wait

9. anonymous

i understand why lol

10. anonymous

It would now be: $$\huge 8x+1=25$$

11. anonymous

so x equals 3??

12. anonymous

Yes! To check if it's an extraneous solution, plug in $$\huge x=3$$ to the equation.

13. anonymous

$$\huge \sqrt{8(3)+1}=5; x=3$$

14. anonymous

whats the difference between non extraneous and extraneous?

15. anonymous

extraneous: not a real solution non extraneous: real solution / the x/root is true

16. anonymous

$$\huge \sqrt{24+1}=5$$ $$\huge \sqrt{25}=5$$ Is this true?

17. anonymous

yeah

18. anonymous

ok thank you so much!!!