Question

i) Form a quadratic equation such that the addition of the roots is 10 and product of the roots is 9
and sovle it.​

Answer 1

$\underline{ \huge \purple{ \mathtt{ \large \fbox{ \: Solution : \: \: \:} }}}$

Given ,

The sum of roots = 10

The product of roots = 9

We know that , the quadratic equation is given by

$\large \mathtt{ \fbox{ {x}^{2} - (sum \: of \: roots)x + (product \: of \: roots) = 0}}$

Substitute the values , we get

$\sf \hookrightarrow {x}^{2} - 10x + 9 = 0$

Hence , the quadratic equation is x² - 10x + 9 = 0