# Inter Exchangeable Symbols

Algebra Level 4

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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