Illustrating quadratic equation2222 2.pptx

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1. Good Morning MATHEMATICS 9 July 30, 2024

2. PRAYER

3. OBJECTIVES Define quadratic equation. Identify whether the given equation is a quadratic or not. Illustrate quadratic equation in real life situation.

4. DEFINITION OF TERMS Quadratic Equation A quadratic equation in one variable is a mathematical sentence of a degree of 2 that can be written in standard form.

5. It is a quadratic equation in standard form with a = 2, b = 5, and c = -3. EXAMPLE #1

6. It is a quadratic equation. However, it is not written in standard form. See on the board how it becomes a quadratic equation. EXAMPLE #2

7. It is a quadratic equation. However, it is not written in standard form. See on the board how it becomes a quadratic equation. EXAMPLE #3

8. When b = 0 in the equation ax 2 + bx + c = 0 , it results to a quadratic equation of the form ax 2 + c = 0. EXAMPLES

9. Real life examples that illustrate quadratic equation A rectangular building is to be placed on a lot that measures 30m by 40m. The building must be placed in the lot so that the width of the lawn is the same on all four sides of the building. Local restrictions state that the building cannot occupy any more than 50% of the property.

10. Real life examples that illustrate quadratic equation A manufacturer develops a formula to determine the demand for its product depending on the price in dollars. The formula is D = 2,000 + 100P - 6P 2 where P is the price per unit, and D is the number of units in demand.

11. Real life examples that illustrate quadratic equation A motorboat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot.

12. Real life examples that illustrate quadratic equation A ball is thrown upwards, 80m above the ground. It will reach a maximum vertical height and then fall back to the ground. The height of the ball from the ground at time t is h, and is given by h = -16t 2 + 64t + 80

13. SUM IT UP 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, the parabolic trajectory, etc.  

14. PRACTICE EXERCISES Identify if the given equation is quadratic or not. Copy and answer.

15. ASSIGNMENT Identify if the given situation illustrate quadratic equations. Write Quadratic if it is otherwise Not Quadratic.