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If one root of the equation \(x^2-(m+4)x+4m=0\) is \(4\), what is the other root?
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Answer and explanation
Correct answer: m
For a quadratic equation \(ax^2+bx+c=0\), the product of its roots is \(\frac{c}{a}\). Here, the product of the roots is \(4m\). Since one root is \(4\), the other root is \(\frac{4m}{4}=m\). Remember that \(m+4\) is the sum of the roots, not 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 \(ax^2+bx+c=0\), the product of its roots is \(\frac{c}{a}\). Here, the product of the roots is \(4m\). Since one root is \(4\), the other root is \(\frac{4m}{4}=m\). Remember that \(m+4\) is the sum of the roots, not 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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