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9x²=334 extract square roots using MPE​

Sagot :

Answer:Solving for x using MPE

1. Isolate the x² term:

Divide both sides of the equation by 9:

x² = 334/9

2. Extract the square root:

Take the square root of both sides of the equation:

√(x²) = ±√(334/9)

3. Simplify:

x = ±√334 / √9

x = ±√334 / 3

Therefore, the solutions to the equation 9x² = 334 are x = √334 / 3 and x = -√334 / 3.

Explanation:

- MPE (Method of Perfect Squares): This method involves manipulating the equation to create a perfect square trinomial on one side, allowing you to easily extract the square root. However, in this case, the equation is already in a form where we can directly extract the square root.

- Extracting the square root: The square root of a number is a value that, when multiplied by itself, equals the original number. In this case, we are taking the square root of both sides of the equation to isolate x.

- The ± sign: When taking the square root of a number, there are always two possible solutions: a positive and a negative value. This is why we include the ± sign in our answer.

Step-by-step explanation: