Question

question solve for n. express your answer as an integer or integers or in simplest radical form. -62 = -8n² + 10 answer attempt 1 out of 2 + additional solution - no solution n = submit answer

Explanation:

Step1: Subtract 10 from both sides

To isolate the term with \(n^2\), we subtract 10 from both sides of the equation \(-62 = -8n^2 + 10\). This gives us:
\[
-62 - 10=-8n^2 + 10 - 10
\]
Simplifying the left and right sides:
\[
-72=-8n^2
\]

Step2: Divide both sides by -8

Next, we divide both sides of the equation \(-72 = -8n^2\) by -8 to solve for \(n^2\). So:
\[
\frac{-72}{-8}=\frac{-8n^2}{-8}
\]
Simplifying both sides:
\[
9 = n^2
\]

Step3: Take square root of both sides

To find the value of \(n\), we take the square root of both sides of the equation \(n^2 = 9\). Remember that when we take the square root of a number, we consider both the positive and negative roots. So:
\[
n=\pm\sqrt{9}
\]
Simplifying \(\sqrt{9}\) gives us \(n = \pm 3\).

Answer:

\(n = 3\) or \(n=- 3\)