Represent the following situations in the form of quadratic equations. 
 
(i) The two numbers whose sum is \(27\) and product is \(182\). 
 
Then the required quadratic equation is
 
(ii) The sum of squares of two consecutive positive integers \(365\).
 
Then the required quadratic equation is
 
Answer variants:
\(x^2-27x+182=0\)
\(2x^2+3x-91=0\)
\(x^2+27x-182=0\)
\(x^2+x-182=0\)
\(x^2-7x-60=0\)
\(x^2+7x-60=0\)