Question

If the sum of the roots of quadratic is equation 10 and the product is 9, then form the quadratic equation

Answer 1

$the \: sum \: of \: roots \: of \: quadratic \: \\ equation \: is \: ( \alpha + \beta ) = 10 \\ product \: is \: ( \alpha \beta ) = 9 \\ the \: given \: equation \: is \: \\ x {}^{2} - (\alpha + \beta )x + \alpha \beta \\ x {}^{2} - 10x + 4 = 0 \\ the \: quadratic \: equation \: is \\ x {}^{2} - 10x + 4 = 0$