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What is the difference between the roots of (x^2-9x+5=0)?
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Answer and explanation
Correct answer: (\sqrt{61})
Here (D=(-9)^2-4(1)(5)=61), so the difference of roots is (\frac{\sqrt{D}}{|a|}=\sqrt{61}). In exams, the difference of roots can be found directly from (D).
Frequently asked questions
What is the correct answer to this question?
(\sqrt{61})
Why is this the correct answer?
Here (D=(-9)^2-4(1)(5)=61), so the difference of roots is (\frac{\sqrt{D}}{|a|}=\sqrt{61}). In exams, the difference of roots can be found directly from (D).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.
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