Question

Find the value of alpha+beta,alpha.Beta, alpha square beta square problem is 2y squared -7y+2=0

Answer 1

Here's your answer

$2 {y}^{2} - 7y + 2 = 0 \\ \\ here \\ \: a \: = 2 \: \: \\ b = - 7 \\c = 2 \\ \\ \\ \alpha + \beta = \frac{ - b}{a} \\ \\ = > \alpha + \beta = - \frac{( - 7)}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} \\ \\ \alpha \beta = \frac{c}{a} \\ \\ = > \alpha \beta = \frac{2}{2} \\ \\ = > \alpha \beta = 1 \\ \\ now \\ { \alpha }^{2} { \beta }^{2} = {1}^{2} \\ \\ = > { \alpha }^{2} { \beta }^{2} = 1$