Solution Set Math Example 1

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Example 1

easy
What is the solution set of x2=25x^2 = 25?

Solution

  1. 1
    Find all values where x2=25x^2 = 25: x=5x = 5 or x=−5x = -5.
  2. 2
    Write as a set: {5,−5}\{5, -5\}.
  3. 3
    The solution set contains every value that satisfies the equation.

Answer

{−5,5}\{-5, 5\}
A solution set is the collection of all values that make the equation true. It can contain zero, one, two, or infinitely many elements.

About Solution Set

The complete set of all values that satisfy a given equation or inequality — it may be empty, finite, or infinite.

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More Solution Set Examples

Example 2 medium

What is the solution set of [formula]?

Example 3 easy

What is the solution set of [formula]?

Example 4 medium

What is the solution set of [formula] over the real numbers?

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