answer using square root method: (4x-1)^2= 16?

Question

^ represents exponent 2
SHOW ALL WORK

Answer 1

when taking the square root you get
BOTH POSITIVE AND NEGATIVE
the square root of 16 is 4 AND -4
so that 3rd guy is right
4x - 1 = +/- 4
4x = 5, -3
x = 5/4, -3/4

Answer 2

Take the square root of both sides to get

4x-1= +/- 4 (plus or minus 4)
4x = 5 or 4x = -3
x = 5/4 or x = -3/4

There are two answers because there are (almost) always two answers when there is a squared x term in the equation.

Answer 3

(4x - 1)² = 16
1. first, take the square root of each side (this will make the square (²) cancel out after the parentheses) and you are then you are left with:

4x - 1 = 4

2. add 1 to both sides to get:

4x = 5

3. then divide by 4 to get your answer of:

x = 5/4 or 1.25

Answer 4

Express it as two factors (4x-1)(4x-1) = (4)(4). Then take the square root of each side (4x-1)=4. Solve that for x so 4x=5. Then x=5/4 and x=-5/4.

Answer 5

(4x - 1)² = 16.

(4x - 1) = ±√16.

4x = 1 ± √16.

x = (1 ± 4)/4.

x = {5/4, -3/4}.

Answer 6

Freddy is right. I tried to give him a thumbs up but the damn laptop mouse clicked thumbs down. Since (-4)^2 = 4^2, Freddy's answer is the most correct. The other two are half correct. Sorry for the thumbs down Freddy.

Answer 7

remove the square from each side making
(4x-1)=4
4x=5
x=5/4

Answer 8

If x^2 = a^2 ---> x=a or x = -a

Answer 9

(4x-1)^2 = 16 ........................ √ both sides
4x-1 = 4
4x = 5
x = 5/4