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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:
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