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Algebra

JEE Main level, single correct, medium

4 of 6

Question 4 of 6

If $\alpha$ and $\beta$ are the roots of $x^2 - 5x + 6 = 0$ , then $\alpha^2 + \beta^2$ is equal to:

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Answer: (C) 13

\alpha + \beta = 5

and

\alpha\beta = 6

\alpha^2 + \beta^2 = (\alpha+\beta)^2 - 2\alpha\beta = 25 - 12 = 13

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Mathematics practice question on Algebra, with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

If α\alphaα and β\betaβ are the roots of x2−5x+6=0x^2 - 5x + 6 = 0x2−5x+6=0, then α2+β2\alpha^2 + \beta^2α2+β2 is equal to:

JEE Main question paper PDF

More Mathematics practice

If $\alpha$ and $\beta$ are the roots of $x^2 - 5x + 6 = 0$ , then $\alpha^2 + \beta^2$ is equal to: