solve x^2 = 25/64. there are two real solutions. enter the lesser number first. leave the answers in simplest fraction form

1 answer

To solve the equation x2=2564, we can take the square root of both sides.

  1. Start with the equation: x2=2564

  2. Take the square root of both sides, remembering to consider both the positive and negative roots: x=±2564

  3. Simplify the square root: x=±2564=±58

This gives us two solutions:

  • x=58
  • x=58
  1. Finally, list the solutions in order, starting with the lesser number: 58,58

Thus, the two real solutions are 58,58.

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