If one root of the equation \(x^2-(m+5)x+5m=0\) is \(5\), what is the other root?
Answer and explanation
Correct answer: m
For a quadratic equation, the product of the roots equals the constant term divided by the coefficient of \(x^2\). Here, the product of the roots is \(5m\). Since one root is \(5\), the other root is \(\frac{5m}{5}=m\). Exam tip: divide the product of the roots by the known root to obtain the other root.
Frequently asked questions
What is the correct answer to this question?
m
Why is this the correct answer?
For a quadratic equation, the product of the roots equals the constant term divided by the coefficient of \(x^2\). Here, the product of the roots is \(5m\). Since one root is \(5\), the other root is \(\frac{5m}{5}=m\). Exam tip: divide the product of the roots by the known root to obtain the other root.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
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