# Mistakes give rise to a problem!

Algebra Level 2

If we mistakenly add numerator and denominators, we would think:

$\Large \dfrac{1}{a} + \dfrac{1}{b}=\dfrac{2}{a+b}.$

How many ordered pairs $$(a.b)$$ in the interval $$-10\leq a,b \leq 10$$ such that they satisfy the equation above.

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