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Let $\alpha$ and $\beta$ be the roots. If $A$ is the A.M. between $\alpha$ and $\beta$ and also $G$ is the G.M. between $\alpha$ and $\beta$, then $\alpha^{2}+\beta^{2}=$ ________.
Let $\alpha$ and $\beta$ be the roots. If $A$ is the A.M. between $\alpha$ and $\beta$ and also $G$ is the G.M. between $\alpha$ and $\beta$, then $\alpha^{2}+\beta^{2}=$ ________.
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$A.M. = G.M. \iff \alpha = \beta$.
Updated On: Jun 24, 2026
- $3\alpha \beta$
- $\frac{1}{2}\alpha \beta$
- $\alpha \beta$
- $4\alpha \beta$
- $2\alpha \beta$
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