PROBLEM SOLVING By Mr Erick Duque PROBLEM SOLVING

PROBLEM SOLVING By: Mr. Erick Duque

PROBLEM SOLVING Divide 21 in two parts, whose product will be 104 21 x - x² = 104 0 = x² – 21 x + DATA 104 1° Greater part : x(21 – x) = 104 21 x - x² = 104 Solve the quadratic equation resulting x Remember, you have two 2° Smaller part 21 – To solve problems is necessary to write methods to solve quadratic what are the data of the problem and what equations, x one of them information completing the square, and theis relevant. At the same time is very formula. important to identify the meaning other using the quadratic of the variable. Second, write in algebraic language the information given us by First, you must identify the data the problem. and name the variable or unknown For example

The difference between the base and the height of a rectangle is 4 m. find the dimensions of the rectangle if the area is 60 m². The area of a square is 144 m 2. Calculate its side. The product of two consecutive numbers is 1260. Find the numbers. The number of the diagonals of a polygon is 54. How many sides does the polygon have? It has 3 segments of measurement: 8, 15 y 16 cm respectively. If you cut for each segment a peace of equal length, such that the segments forma a right triangle. What is the measure of each side? Try to solve one

The difference between the base and the height of a rectangle is 4 m. find the dimensions of the rectangle if the area is 60 m². Base =b height Height b + = Base The quadratic equation b² + 4 b = 60 When you have an exercise of this type the better is to make a graph 4 b(b + 4) = 60– 60 = b² + 4 b 0 b = – b=6 10