Inter Exchangeable Symbols

Algebra Level 5

Let \(a\) and \(b\) be distinct numbers such that

  • \(b\) is a root of the equation \(x^2 + ax + 10 = 0 \), and
  • \(a\) is a root of the equation \(x^2 + bx + 10 = 0 \).

What is the relationship between \(a\) and \(b\)?

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