Question

solve for n.
225n² - 1 = 0
write each solution as an integer, proper fraction, or improper fraction in simplest form. if there are multiple solutions, separate them with commas.
n =

Explanation:

Step1: Isolate the squared term

Add 1 to both sides of the equation $225n^{2}-1 = 0$. We get $225n^{2}=1$.

Step2: Solve for $n^{2}$

Divide both sides by 225. So, $n^{2}=\frac{1}{225}$.

Step3: Find the values of $n$

Take the square - root of both sides. Remember, when $n^{2}=a$ ($a\geq0$), $n=\pm\sqrt{a}$. Here, $n=\pm\sqrt{\frac{1}{225}}=\pm\frac{1}{15}$.

Answer:

$n = \frac{1}{15},-\frac{1}{15}$