CA Foundation P3 · Chapter 2 · Question 9 of 9
If α and β are the roots of x² − 5x + 3 = 0, the equation whose roots are α² and β² is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) x² − 19x + 9 = 0
Explanation
α + β = 5 and αβ = 3. Sum of new roots: α² + β² = 25 − 2(3) = 19. Product of new roots: α²β² = 3² = 9. The equation is x² − 19x + 9 = 0. Taking (α + β)² as the sum gives the wrong option with 25.
More Equations MCQs
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