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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