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Mathematics · 2024 · 2 marks
CBSE 2024 · Region 5 · Set 1 · Q23
If α, β are zeroes of the polynomial p ( x )=5 x^2-6 x +1, then find the value of α+β+α β.
If $\displaystyle \alpha, \beta$ are zeroes of the polynomial $\displaystyle \mathrm{p}(\mathrm{x})=5 \mathrm{x}^{2}-6 \mathrm{x}+1$, then find the value of $\displaystyle \alpha+\beta+\alpha \beta$.
Marking-scheme solution
\[\begin{aligned}
& \alpha+\beta=\frac{6}{5} \\
& \alpha \beta=\frac{1}{5} \\
& \alpha+\beta+\alpha \beta=\frac{6}{5}+\frac{1}{5}=\frac{7}{5}
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.