Final answer:
The equation 3j² - 4 = 0 is a quadratic equation solved by isolating j², then taking the square root of both sides. The solutions are approximately j = 1.155 and j = -1.155.
Step-by-step explanation:
The equation given in the question, 3j² - 4 = 0, can be solved using methods suitable for a quadratic equation. To find the values of j, we will rearrange the equation to solve for j² and then take the square root of both sides. The steps are as follows:
- Add 4 to both sides to isolate the j² term: 3j² = 4.
- Divide both sides by 3 to solve for j²: j² = 4 / 3.
- Take the square root of both sides to solve for j: j = ±√(4/3).
The solutions are approximately j = 1.155 and j = -1.155, when rounded to three decimal places. This process utilizes the quadratic nature of the equation to find answers.