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3j²-4=0 Write your answers as rounded to the neares

User Maess
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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 and then take the square root of both sides. The steps are as follows:

  • Add 4 to both sides to isolate the term: 3j² = 4.
  • Divide both sides by 3 to solve for : 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.

User Vincent James
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