Question

Please Help! I Need Explanation & Help On How To Do This!!!! Medal and Fan?!?!

Answer 1

√(8x+1)=5

Answer 2

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

Answer 3

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

Answer 4

yes

Answer 5

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

Answer 6

where did you get the power of 2?

Answer 7

So you square both sides to remove the radical sign.

Answer 8

ohhhh nvm wait

Answer 9

i understand why lol

Answer 10

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

Answer 11

so x equals 3??

Answer 12

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

Answer 13

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

Answer 14

whats the difference between non extraneous and extraneous?

Answer 15

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

Answer 16

\(\huge \sqrt{24+1}=5\)
\(\huge \sqrt{25}=5\)

Is this true?

Answer 17

yeah

Answer 18

ok thank you so much!!!