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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 m2.


NOTE: If a = 1, the equation is x2 – 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 12m2.

3.-  Calculate the length of the catheti of an isosceles triangle whose area is 50m2.

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) x2 - 4x - 21 = 0