If one root of a quadratic equation is 6 and the product of the two roots is 48, what is the other root?
Answer and explanation
Correct answer: 8
Let the roots be 6 and \(x\). Since their product is 48, \(6x=48\), so \(x=\frac{48}{6}=8\). Therefore, the other root is 8. The value 42 results from subtracting 6 from 48, but the question gives the product, so division is required. Exam tip: Divide the product of the roots by the known root to find the other root.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Let the roots be 6 and \(x\). Since their product is 48, \(6x=48\), so \(x=\frac{48}{6}=8\). Therefore, the other root is 8. The value 42 results from subtracting 6 from 48, but the question gives the product, so division is required. Exam tip: Divide the product of the roots by the known root to find the other root.
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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