Question

${ \times }^{2} - {5x}^{2} + 6$
$\alpha + \beta = - \frac{b}{a} \: \alpha \beta = \frac{c}{a}$

Answer 1

x²-5x+6

so a=1 ,b=-5 and c=6
alpha+ bita=-b/a=-(-5)/1=5
alpha bita=c/a =6/1=6
bita=6/alpha
alpha+6/alpha=5
alpha ²-5alpha +6=0
alpha ²-2alpha-3alpha+6=0
alpha (alpha-2)-3(alpha+2)=0
(alpha-2)(alpha-3)=0
if alpha-2=0
alpha=2
so bita=6/alpha=6/2=3
if alpha-3=0
alpha=3
so bita=6/alpha=6/3=2

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