What is the product of the roots of \(5x^2-2x-8=0\)?
Answer and explanation
Correct answer: \(-\frac{8}{5}\)
For a quadratic \(ax^2+bx+c=0\) the product of roots is \(\alpha\beta=\dfrac{c}{a}\). Here \(a=5\) and \(c=-8\), so the product is \(-\dfrac{8}{5}\). Option B has the wrong sign; options C and D are incorrect numerical values. Exam tip: identify \(a\) and \(c\) first and directly compute \(c/a\) to avoid sign mistakes.
Frequently asked questions
What is the correct answer to this question?
\(-\frac{8}{5}\)
Why is this the correct answer?
For a quadratic \(ax^2+bx+c=0\) the product of roots is \(\alpha\beta=\dfrac{c}{a}\). Here \(a=5\) and \(c=-8\), so the product is \(-\dfrac{8}{5}\). Option B has the wrong sign; options C and D are incorrect numerical values. Exam tip: identify \(a\) and \(c\) first and directly compute \(c/a\) to avoid sign mistakes.
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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