Question

find the quadratic equation alpha + beta is equals to 5 Alpha Beta is equals to 1 upon 3​

Answer 1

$\textbf{\underline{\pink{\underline{\large{Step by step Explanation:-}}}}}$

$\textit{\underline{Given,,}}$

$\mathtt{\alpha+\beta=5}$

$\mathtt{\alpha\beta=\frac{1}{3}}$

$\textit{\underline{Hence,,}}$

$\textit{\underline{The Quadratic equation is,,}}$

$\mathrm{x^{2}+(\alpha+\beta)x+\alpha\beta=0}$

$\mathrm{\implies{x^{2}+5x+\frac{1}{3}=0}}$

$\mathrm{\implies{\frac{3x^{2}+15x+1}{3}=0}}$

$\mathrm{\implies{3x^{2}+15x+1=0}}$

$\mathrm{\red{\boxed{3x^{2}+15x+1=0}}}$

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