Question

Solve (2x – 1)2 = 9.

Question 19 options:

A)

x = –2, 1

B)

x = 2, 1

C)

x = 2, –1

D)

x = –2, –1

Answer 1

Take the square root of each side of the equation to set up the solution for
x
x
(
2
x
−
1
)
2
⋅
1
2
=
±
√
9
(
2
x
-
1
)
2
⋅
1
2
=
±
9
Remove the perfect root factor
2
x
−
1
2
x
-
1
under the radical to solve for
x
x
.
2
x
−
1
=
±
√
9
2
x
-
1
=
±
9
Simplify the right side of the equation.
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2
x
−
1
=
±
3
2
x
-
1
=
±
3
The complete solution is the result of both the positive and negative portions of the solution.
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x
=
2
,
−
1

Answer 2

C because you would need to simplify the xy to the equation :)