Question

1) if alpha, Betta are the roots of the equation x^2+px+p^2+q=0, then find value of alpha^2+alpha betta+ betta^2+q.​

Answer 1

Answer:

${p}^{2}$

Step-by-step explanation:

$(x + y) {}^{2} = {x}^{2} + {y}^{2} + 2xy$

$\alpha + \beta = - p$

$\alpha \beta = q$

${ \alpha }^{2} + { \beta }^{2} + \alpha \beta + q = {( \alpha + \beta )}^{2} - \alpha \beta + q$

$= {( - p)}^{2} - (q) + q = {p}^{2}$

Hope it helps

Answer 2

Answer:

sorry, this is very tough question.