Question

For which values of p does the following equation has equal roots?

2x2
-px+8=0


please guys help me​

Answer 1

Answer:

$two \: \: roots \: \: are \: \: \alpha \: \: \: and \: \: \beta \\ \\ we \: \: know \: \: that \: \: \alpha . \beta = \frac{c}{a} \: \: \: \: and \: \: \: \alpha + \beta = - \frac{b}{a} \\ \\ equation \: \: is \: \: 2 {x}^{2} - px + 8 = 0 \\ \\ \alpha . \beta = \frac{8}{2} = 4 \\ \\ \alpha + \beta = - \frac{ - p}{2} = \frac{p}{2} \\ \\ according \: \: to \: \: question \: \: \alpha . \beta = \alpha + \beta \\ \\ \frac{p}{2} = 4 \\ \\ = > p = 8 \: \: \: \: \: \: \: \: \: \: \: \:$