# How do you solve (2k-1)^2=9?

##### 1 Answer
Aug 16, 2016

$k = 2$ or $k = - 1$

#### Explanation:

you can take the square root from both sides but you must remember that there will be two possible options. Either the value will be positive or negative so
$2 k - 1 = 3$ or $1 - 2 k = 3$
$2 k = 4$ or $- 2 k = 2$
$k = 2$ or $k = - 1$

then we plug both in and see if they work
and they both indeed do.