Question

the quadratic equation for x square - 12 x + 9 equals to zero has equal roots is it true or false​

Answer 1

Hey friend,

Here is the solution :-

$we \: have \: the \: equation : - \\ \\ {x}^{2} - 12x + 9 = 0 \\ \\ here \: \: \: \: a = 1 \: \: \: \: b = - 12 \: \: \: \: c = 9$

$now \: to \: find \: the \: nature \: of \: the \: roots \\ we \: have \: the \: formula : - \\ \\ d = {b}^{2} - 4ac$

$so \: \: \: \: d \: = {( - 12)}^{2} - 4 \times 1 \times 9 \\ \\ d = 144 - 36 \\ \\ d = 108$

As we know if d = any positive number then the roots are distinct and real.

So, the given statement is false as the roots of this polynomial are distinct and real.

✨I hope this will help you....✨