Question

show that
${x}^{2 } + 6x + 18$
has no zero

Answer 1

pro.=18
sum=6

x²+3x+3x+18
this can't be selected as 3 & 3 don't have a product as 18,
x²+5x+x+18
this can't be selected as 5 & 1 don't have produce as 18

similarly there are no numbers which have sum 6
& pro. 18.
Since it can't be factorised, it has no zeroes.

HOPE IT HELPS!!!!!