SOLUTION: (2x-1)^2 = 9 Solve for x. Do I expand the brackets?

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Question 1037140: (2x-1)^2 = 9
Solve for x.
Do I expand the brackets?

Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39627)   (Show Source): You can put this solution on YOUR website!
No, but instead you use some understanding of the exponents.

LOOK HERE:

What should you do about the exponent 2 on both sides?



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Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

(2x-1)^2 = 9
Solve for x.
Do I expand the brackets?

No, that'd be too much work!

2x - 1 = 3 ------- EXPONENTS are equal, and so are the BASES
2x = 3 + 1
2x = 4

Answer by ikleyn(52863)   (Show Source): You can put this solution on YOUR website!
.
(2x-1)^2 = 9
Solve for x.
Do I expand the brackets?
~~~~~~~~~~~~~~~~~~~~~~~~~~~

The are two solutions: x = 2 and x = -1.

(2x-1)^2 = 9 --->  2x-1 = +/-3  --->  x = 2  or/and  x = -1.


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