Question

The equation whose roots are 2,3±5 is?

Answer 1

$let \: \alpha = 2 \: \: \: and \: \: \: \: \beta = 8$

$\alpha + \beta = 2 + 8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 10 \\ \alpha \times \beta = 2 \times 8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 16 \\ x {}^{2} + ( \alpha + \beta )x + \alpha \times \beta = 0 \\ {x }^{2} + 10x + 16 = 0$