Question

If a and B are the zeroes of the quadratic polynomial g(x) = x2 – 5x + 6, then find
the value of alpha + beta - 3 alpha beta​

Answer 1

Answer:

$\alpha \: \: and \: \beta \: are \: the \: zeros \: of \: the \: equation \: \: \\ {x}^{2} - 5x + 6 \\ so \: \: \: \: \alpha + \beta = 5 \\ \alpha \beta = 6 \\ \\ \alpha + \beta - 3 \alpha \beta \\ = 5 - 3 \times 6 \\ = 5 - 18 \\ = - 13$