Question

If the product of the zeros of the polynomial ax2 - 5 x + 6 is 5 then the value of a is

Answer 1

$let \: roots \: be \: \alpha and \beta \alpha \: \\ \alpha + \beta = 5 \\ compare \: with \: standard \: eqn \\ a \\ p = a \: q = - 5 \\ - q \div p = \alpha + \beta \\ 5 \div a = 5 \\ a = 1$