solve the equation 4k^2=16

**Answer**

[tex]\sf{k=2\:and\:k=-2}[/tex]

**Further explanation**

First, divide each side by 4:

[tex]\sf{4k^2=16}[/tex]

[tex]\sf{k^2=4}[/tex]

**Now, to get rid of the squared sign and isolate k, we perform the opposite operation of squaring, which is taking the square root.**

[tex]\sf{\sqrt{k^2} =\sqrt{4}}[/tex]

On the left side, the square and the square root cancel out. On the right side, we take the square root of 4:

- [tex]\sf{k=2}[/tex]

However, we must remember that if we take the square root ofa number, we end up with **two solutions **which are opposites of each other.

**∴ **the solutions are k = 2 and k = -2

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