The roots of the quadratic equation 3x² − 7x + 2 = 0 are α and β. What is the value of α + β?

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Question

The roots of the quadratic equation 3x² − 7x + 2 = 0 are α and β. What is the value of α + β?

Accepted Answer

7/3 — By Vieta's formulae, the sum of the roots α + β = −b/a = −(−7)/3 = 7/3. Option B gives the product of roots αβ = c/a = 2/3, a common confusion. Option C omits the division by a. Option D inverts the fraction incorrectly.

Answer

7

Answer

7/3

Answer

2/3

Answer

3/7

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