Question

Find the quadratic equation given that the roots are 3 and 9​

Answer 1

Answer:

$\bold\purple{Quadratic \: \: eq {}^{n} = x {}^{2} - ( \alpha + \beta )x + \alpha \beta}$

Sum of roots ,

$( \alpha + \beta ) = (3 + 9) = 12$

Product of roots ,

$( \alpha \beta ) = (3)(9) = 27$

Substituting the values in the above equation ,

$\bold{x {}^{2} - ( \alpha + \beta )x + \alpha \beta} \\\\ \bold{⇢ x {}^{2} - (12)x + 27} \\\\ \bold\blue{ ⇢x {}^{2} - 12x + 27}$

hope helpful~