Please helppp!!

Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution.

x = 4, solution is extraneous

x = 4, solution is not extraneous

x = 5, solution is extraneous

x = 5, solution is not extraneous

Question

Please helppp!! 


Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution.

 x = 4, solution is extraneous

 x = 4, solution is not extraneous

 x = 5, solution is extraneous

 x = 5, solution is not extraneous

camerondoherty · Answer

$$\sqrt{2x}+1=3$$

abmon98 · Answer

$$\sqrt{2x+1}=3$$
$$3^2=2x+1$$
$$2x=8$$
$$x=4$$

camerondoherty · Answer

so its B because its not extraneous

camerondoherty · Answer

but give medal to @Abmon98

camerondoherty · Answer

I take no credit

abmon98 · Answer

@camerondoherty To be honest, I dont know what extraneous means.

camerondoherty · Answer

extraneous means basically its FALSE and non extraneous means its TRUE with the solution i guess if you narrow it down

camerondoherty · Answer

thats what my teacher told me and how i learned it

anonymous · Answer

Thanks ! ♥

anonymous · Answer

can any of you help me with one more question?

camerondoherty · Answer

ask a new question and tag me in it like this @camerondoherty

anonymous · Answer

Eloise started to solve a radical equation in this way:

       Square root of negative 2x plus 1 − 3 = x
Square root of negative 2x plus 1 − 3 + 3 = x + 3
             Square root of negative 2x plus 1 = x + 3
       Square root of negative 2x plus 1 − 1 = x + 3 − 1
             Square root of negative 2 x = x + 2
         (Square root of negative 2 x)2 = (x − 4)2
               −2x = x2 − 8x + 16
       −2x + 2x = x2 + 8x + 16 + 2x 
                  0 = x2 + 10x + 16
                  0 = (x + 2)(x + 8)

       x + 2 = 0                     x + 8 = 0
x + 2 − 2 = 0 − 2         x + 8 − 8 = 0 − 8
             x = −2                         x = −8

Both solutions are extraneous because they don't satisfy the original equation.

What error did Eloise make?

 She added 2x after squaring both sides.

 She subtracted 1 before squaring both sides.

 She factored x2 + 10x + 16 incorrectly.

 She did not check for extraneous solutions.

anonymous · Answer

@camerondoherty idk how to take a picture of it so i had to put it here :/

camerondoherty · Answer

can you link me the page ill take a puctiure

anonymous · Answer

its on FLVS..

camerondoherty · Answer

because i cant really understand that xD

camerondoherty · Answer

just try it

anonymous · Answer

lol okay let me see if i can hold on

anonymous · Answer

@camerondoherty

camerondoherty · Answer

oh gawsh idk sorry...

anonymous · Answer

its okay thanks anyways !! :D