What is the sum of the roots of the quadratic equation \(4x^2-11x+7=0\)?
Answer and explanation
Correct answer: \(\frac{11}{4}\)
For a quadratic equation \(ax^2+bx+c=0\), the sum of the roots is \(-\frac{b}{a}\). Here, \(a=4\) and \(b=-11\), so the sum is \(-\frac{-11}{4}=\frac{11}{4}\). Option B has the wrong sign, while the options containing \(\frac{7}{4}\) reflect confusion with the constant term. Exam tip: use \(-b/a\) directly to find the sum of the roots.
Frequently asked questions
What is the correct answer to this question?
\(\frac{11}{4}\)
Why is this the correct answer?
For a quadratic equation \(ax^2+bx+c=0\), the sum of the roots is \(-\frac{b}{a}\). Here, \(a=4\) and \(b=-11\), so the sum is \(-\frac{-11}{4}=\frac{11}{4}\). Option B has the wrong sign, while the options containing \(\frac{7}{4}\) reflect confusion with the constant term. Exam tip: use \(-b/a\) directly to find the sum of the roots.
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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