# problems

1. Calculate two consecutive natural numbers whose product equals 992.

2. Calculate the dimensions of a rectangle which has a perimeter of 24 m and an area of 32 m^{2}.

NOTE: If a = 1, the equation is x^{2} – sx +p = 0, where “s” is the sum of the solutions and “p” is their product.

**Exercises**: solve the following problems and check the solution/s:

1.- The product of a number increased 3 units by the same number decreased 4 units, is 98. Find out the number.

2.- Calculate the perimeter of a swimming pool, knowing that its length is 3/4 its widht and the area is 12m^{2}.

3.- Calculate the length of the catheti of an isosceles triangle whose area is 50m^{2}.

4.- Find the quadratic equation whose solutions are -3 and 7 and check it.

Solutions: 1) -10 or 11; 2) 14 m; 3) 10 m; 4) x^{2} - 4x - 21 = 0

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