The sum of the roots of x^2 + 4x + 5 = 0 is which value?

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Multiple Choice

The sum of the roots of x^2 + 4x + 5 = 0 is which value?

Explanation:
For a quadratic equation in standard form ax^2 + bx + c = 0, the sum of the roots is -b/a. Here, a = 1 and b = 4, so the sum of the roots is -4/1 = -4. This holds even if the roots are complex, since the relation from Vieta's formulas always applies. Therefore, the sum is -4. The other values don’t match -b/a for this equation, so they aren’t correct.

For a quadratic equation in standard form ax^2 + bx + c = 0, the sum of the roots is -b/a. Here, a = 1 and b = 4, so the sum of the roots is -4/1 = -4. This holds even if the roots are complex, since the relation from Vieta's formulas always applies. Therefore, the sum is -4. The other values don’t match -b/a for this equation, so they aren’t correct.

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