Question

solve each equation by taking

1. $n^2 - 3 = 46$

solve each eq

1. $4x^2 + 12$

Explanation:

Step1: Isolate the squared term

We start with the equation \( n^2 - 3 = 46 \). First, we add 3 to both sides of the equation to isolate \( n^2 \).
\( n^2 - 3 + 3 = 46 + 3 \)
\( n^2 = 49 \)

Step2: Take the square root

To solve for \( n \), we take the square root of both sides. Remember that when we take the square root of a number, we get both a positive and a negative solution.
\( n = \pm\sqrt{49} \)
\( n = \pm 7 \)

Answer:

\( n = 7 \) or \( n = -7 \)