Question

If alpha and beta are the zeroes of polynomial 5x^2 + 5x + 1 then find alpha square + beta square

Answer 1

$hi \\ \\ \alpha { }^{2} + \beta {}^{2} = ( \alpha + \beta ) {}^{2} - 2 \alpha \beta \\ \\ \alpha + \beta = - 5 \div 5 \\ \\ and \\ \\ \alpha \beta = 1 \div 5 \\ \\ \alpha {}^{2} + \beta {}^{2} = ( - 1) {}^{2} + 2 \div 5 \\ \\ \alpha {}^{2} + \beta {}^{2} = 7 \div 5 \\ \\ \\ have \: a \: nyc \: tym$