Question

if a and b are the zeroes of polynominal p (x) =2xx +3x+5 then find 1/a +1/b

Answer 1

$p(x) = 2{x}^{2} + 3x + 5 \\ ab = 5 \div 2 \\ a + b = - 3 \div 2 \\ (1 \div a) + (1 \div b) = (a + b) \div ab \\ = (5 \div 2) \div ( - 3 \div 2) \\ = - 5 \div 3$