Question

ax^2+bx+c=0 factors are alfa and bita then(1+alfa/bita)(1+bita/alfa)=?​

Answer 1

Step-by-step explanation:

sum of roots,

$\alpha + \beta = - \frac{b}{a}$

$\alpha \beta = \frac{c}{a}$

product of roots

$1 + \frac{ \alpha }{ \beta }$

$(1 + \frac{ \alpha }{ \beta } )(1 + \frac{ \beta }{ \alpha } )$

=

$( \frac{ \beta + \alpha }{ \beta })( \frac{ \alpha + \beta }{ \alpha })$

$\frac{ {( \alpha + \beta )}^{2} }{ \alpha \beta }$