Question

If 3 and 3 are the roots of x2 + ax + β = 0 and 8 and 2 are the roots of x2 + α x + b = 0, then find the roots of the equation 2 x x + += α β 0 ​

Answer 1

Answer:

9 and 1

Explanation:

$\bold{8 \: and \: 2 \: are \: the \: roots \: of \: {x}^{2} + \alpha x + b.} \\ \implies b = (8 )( 2) = 16 \\ \bold{3 \: and \: 3 \: are \: the \: roots \: of \: {x}^{2} + a x + \beta.} \\ \implies a = - (3 + 3) = - 9$

$\bold{{x}^{2} + ax + b} \\ \implies {x}^{2} - 9x + 16$