Question

Construct a quadratic equation whose roots are √3 and 3√3 ?

Answer 1

Dear student
$$\begin{gathered} LetSandPbethesumoftherootsandproductoftherootsoftherequiredpolynomial. \\ S=\sqrt{3}+3\sqrt{3}=4\sqrt{3} \\ andP=\left(\sqrt{3}\right)\left(3\sqrt{3}\right)=9 \\ So,therequiredpolynomialis=k\left\{x^2-Sx+P\right\}=k\left\{x^2-4\sqrt{3}x+9\right\}wherekisanynon-zerocons\tan t. \end{gathered}$$
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