Quadratic equations are used in many real-life situations such as calculating the areas of an enclosed space, the speed of an object, the profit and loss of a product, or curving a piece of equipment for designing.
Based on the above information try to form the quadratic equation in the below situations.
1. The product of two consective integer is 629
2. The height of a right triangle is 3 \(cm\) greater than its base. If the hypotenuse is 5 \(cm\), form the quadratic equation to find the base of the triangle.
3. The length of rectangle is greater than its breadth by 6 \(cm\). If area of the rectangle is 21 \(cm\), form the quadratic equation to find the breadth of the rectangle.
4. The sum of two number is 34 and the product of two number is 108