Solve for j.

Question

j2 − 67 = –3

Write your answers as integers or as proper or improper fractions in simplest form.

j =
or j =

Answer 1

To solve the equation \( j^2 - 67 = -3 \), we can start by isolating \( j^2 \):

1. Add 67 to both sides: \[ j^2 - 67 + 67 = -3 + 67 \] \[ j^2 = 64 \]

2. Now, take the square root of both sides: \[ j = \pm \sqrt{64} \] \[ j = \pm 8 \]

So, the solutions are: \[ j = 8 \quad \text{or} \quad j = -8 \]