What is the solution to the equation 6x^2 = 60?

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Finding the Solution to 6x² = 60

To solve the equation 6x² = 60, we need to isolate the variable x. Here’s a step-by-step breakdown of the solution:

  1. Start with the equation:
    2.             6x² = 60
  2. Divide both sides by 6: This will help to simplify the equation.
    3.             x² = 10
  3. Take the square root of both sides: Remember to consider both the positive and negative roots.
    4.             x = ±√10
  4. Final Solution: Therefore, the solutions to the equation are:
    • x = √10
    • x = -√10

Conclusion

The solutions for the equation 6x² = 60 are x = √10 and x = -√10.

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