Question

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

Answer 1

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

Answer 2

for this one i got B

Answer 3

You need to either post a pic of the problem or use the equation editor.
It is a waste of time for helpers to have to ask questions just to find out what problem you need solved because you use words instead of equations.

Answer 4

What does this mean?
Square root of negative 2x plus 1 − 3 = x

Answer 5

How much of the left side is in the square root?