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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 \(=\)
(iii) Rohan’s mother is \(26\) years older than him. The product of their ages (in years) \(3\) years from now will be \(360\). We would like to find Rohan’s present age.
Required quadratic equation \(=\)
Answer variants:
\(x^2+x+306=0\)
\(x^2+x-306=0\)
\(2x^2-2x-528=0\)
\(x^2+32x+273=0\)
\(2x^2+2x-528=0\)
\(2x^2+x-528=0\)
\(x^2+32x-273=0\)
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