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What is the sum of the roots of the equation \(5x^2-4x-1=0\)?
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Answer and explanation
Correct answer: \(\frac{4}{5}\)
For a quadratic equation \(ax^2+bx+c=0\), the sum of the roots is \(-\frac{b}{a}\). Here, \(a=5\) and \(b=-4\), so the sum is \(-\frac{-4}{5}=\frac{4}{5}\). Exam tip: substitute the signed value of \(b\), not just its magnitude, in the formula.
Frequently asked questions
What is the correct answer to this question?
\(\frac{4}{5}\)
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, \(a=5\) and \(b=-4\), so the sum is \(-\frac{-4}{5}=\frac{4}{5}\). Exam tip: substitute the signed value of \(b\), not just its magnitude, in the formula.
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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