Represent the following situations in the form of quadratic equations.
(i) The area of a rectangular plot is \(528\) m\(^2\). The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.
Required quadratic equation \(=\)
(ii) The product of two consecutive positive integers is \(306\). We need to find the integers.
Required quadratic equation \(=\)
Answer variants:
\(x^2-55x+750=0\)
\(x^2-8x-1280=0\)
\(x^2+32x-273=0\)
\(x^2+x-306=0\)
\(x^2-45x+324=0\)
\(2x^2+x-528=0\)