Question

Form the quadratic equation whose sum of roots is 7 and product of roots is 10​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Sum of roots is 7 and}$

$\textsf{Product of roots is 10}$

$\underline{\textbf{To find:}}$

$\textsf{The corresponding quadratic equation}$

$\underline{\textbf{Solution:}}$

$\underline{\textbf{Formula used:}}$

$\mathsf{Quadratic\;equation\;having\;roots\;\alpha\;and\;\beta\;is}$

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

$\textsf{The required quadatic equation is}$

$\mathsf{x^2-(Sum\;of\;roots)x+Product\;of\;roots=0}$

$\implies\boxed{\mathsf{x^2-7x+10=0}}$

$\underline{\textbf{Find more:}}$

Write the polynomial ,the product and sum of whose zeroes are -9/2 and -3/2 respectively.

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