What is the sum of roots of 6x² − 13x + 5 = 0?
Answer and explanation
Correct answer: 13/6
For a quadratic equation ax² + bx + c = 0 with roots α and β, Vieta’s relation states that α + β = −b/a. In the given equation, a = 6 and b = −13. Therefore, α + β = −(−13)/6 = 13/6. The constant term c = 5 is used for the product of the roots, not their sum, so 5/6 and −5/6 are not appropriate. The negative option −13/6 would result from forgetting the minus sign in the formula. Hence option A is the unique correct answer.
Frequently asked questions
What is the correct answer to this question?
13/6
Why is this the correct answer?
For a quadratic equation ax² + bx + c = 0 with roots α and β, Vieta’s relation states that α + β = −b/a. In the given equation, a = 6 and b = −13. Therefore, α + β = −(−13)/6 = 13/6. The constant term c = 5 is used for the product of the roots, not their sum, so 5/6 and −5/6 are not appropriate. The negative option −13/6 would result from forgetting the minus sign in the formula. Hence option A is the unique correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.
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