Using formula or factorisation, what are the roots of \(x^2-3x+2=0\)?
Answer and explanation
Correct answer: (1,2)
Factorising gives \(x^2-3x+2=(x-1)(x-2)\), so the roots are \(x=1\) and \(x=2\). The closest distractor D contains 2 (which is correct) but also 3 (which is not), so D is wrong. Also the discriminant is \(b^2-4ac=9-8=1\), a positive perfect square, confirming two rational real roots. Exam tip: use Vieta — sum of roots =3 and product =2 to check your answer quickly.
Frequently asked questions
What is the correct answer to this question?
(1,2)
Why is this the correct answer?
Factorising gives \(x^2-3x+2=(x-1)(x-2)\), so the roots are \(x=1\) and \(x=2\). The closest distractor D contains 2 (which is correct) but also 3 (which is not), so D is wrong. Also the discriminant is \(b^2-4ac=9-8=1\), a positive perfect square, confirming two rational real roots. Exam tip: use Vieta — sum of roots =3 and product =2 to check your answer quickly.
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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