Sabrena I need someones help in solving a problem and showing the work so that I can solve the next few one year ago one year ago

1. Sabrena

|dw:1354640251797:dw| Please help me solve and show the work to help me solve other problems

2. richyw

$16n^2-4=0$?

3. richyw

$16n^2=4$$n^2=\frac{4}{16}=\frac{1}{4}$$n=\sqrt{\frac{1}{4}}=\frac{1}{\sqrt{4}}=\pm\frac{1}{2}$

4. Sabrena

16n^2-4=0 yes that is correct

5. Sabrena

Is that a +1/-2 at the end of the equation

6. richyw

nope that means it has two solutions $$1/2$$ and $$-1/2$$

7. Sabrena

I was not sure how you cam to your answer. Can you explain? Thanks you have been very helpful. Your awesome

8. richyw

well the first thing you want to do is isolate $$n^2$$ so you first have add 4 to both sides, then divide both sides by 16. Now you have $$n^2$$ on its own, so you have to take the square root of both sides to do that.

9. richyw

also I used $\sqrt\frac{a}{b}=\frac{\sqrt{a}}{\sqrt{b}}$ to take the 1 out and $$\sqrt 4=\pm2$$ that is = -2 and =2

10. Sabrena

Thank You, I wasnt sure about the 1. You have been very helpful. Thanks Again