Question

help with this Math question?

Answer 1

$\alpha \: = \: 8 \: + \: 6i$
$\beta \: = \: 8 \: - \: 6i$
$\alpha \: + \: \beta \: = \: 16$
$\alpha \beta \: = \: 100$
${x}^{2} \: - \: 16x \: + \: 100 \: = \: 0$

${x}^{2} \: - \: ( \alpha \: + \: \beta )x \: + \: \alpha \beta \: = \: 0$
where,
a = 1, b = -16, c = 100.

Answer 2

\alpha \: = \: 8 \: + \: 6i

\beta \: = \: 8 \: - \: 6i

\alpha \: + \: \beta \: = \: 16

\alpha \beta \: = \: 100

{x}^{2} \: - \: 16x \: + \: 100 \: = \: 0

{x}^{2} \: - \: ( \alpha \: + \: \beta )x \: + \: \alpha \beta \: = \: 0

where,

a = 1, b = -16, c = 100.