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x² + 5x + 10 = 0

What two numbers multiply to get 10 and add to get 5? (1,10)? (2,5)? No.

There are none, so go to the quadratic formula to get the answers.

(-b±√(b²-4ac))/2a

(-5±√(25-40))/2 {{Uh-oh. Negative determinant, so no real answers at all.}}

(-5±√-15)/2

Answers are (-2.5 + 1.9365i) and (-2.5 - 1.9365i) ■

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