What is the positive difference between the roots of the equation \(3x^2-10x+8=0\)?
Answer and explanation
Correct answer: \(\frac{2}{3}\)
Factoring the equation as \((3x-4)(x-2)=0\) gives the roots \(x=\frac{4}{3}\) and \(x=2\). Therefore, their positive difference is \(2-\frac{4}{3}=\frac{2}{3}\). In an exam, factoring first and subtracting the smaller root from the larger one is the quickest method.
Frequently asked questions
What is the correct answer to this question?
\(\frac{2}{3}\)
Why is this the correct answer?
Factoring the equation as \((3x-4)(x-2)=0\) gives the roots \(x=\frac{4}{3}\) and \(x=2\). Therefore, their positive difference is \(2-\frac{4}{3}=\frac{2}{3}\). In an exam, factoring first and subtracting the smaller root from the larger one is the quickest method.
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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