### LESSON 9-7 PROBLEM SOLVING SQUARES AND SQUARE ROOTS

Substitute each value of x obtained in the equation. Let the students read and understand some important notes on solving quadratic equations by completing the square. Retrieved November 7, , from March 24, http: Solutions of quadratic equations which can be solved by extracting square roots, factoring, completing the square, and by using the quadratic formula f. In Activity 10, the students will conduct a mathematical investigation on some quadratic inequalities.

Quadratic Equations and Inequalities A. The roots are not real. Guide for Activity 14 1. Tell them to use these mathematical ideas and the skills they learned from the examples presented in the preceding section to answer the activities provided. Activity 8 Answer Key 10 1. Hence, the sum of the roots represents one-half of the perimeter of the garden and the product of the roots represents its area. In this lesson, the students will be given the opportunity to learn the different methods of solving quadratic equations namely:

Guide for Activity 2 1. Motivate the students by assuring them that they will be able to answer the above questions and they will learn a lot of applications of the quadratic functions as they go on with the lessons.

Math in A, B, Squaare Students are divided into two groups, usually by numbering off. In this activity, the students will be asked to solve a particular real-life problem involving the discriminant of quadratic equations and then cite similar or other situations where this mathematics concept is applied.

Let them find out why the quadratic formula can be used in solving any quadratic equations.

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It is divided into four lessons namely: What Makes Me True? This activity provides the students with an initial idea of the importance of quadratic functions in creating designs.

## Solving quadratics by taking square roots

Yes March 24, Before proceeding to the next activities, let the students give a brief summary of xnd activities done. What Does a Square Have? Entice the students to find out the answers to these questions and to determine the vast applications of quadratic equations, quadratic inequalities, and rational algebraic equations through this module.

Lesson 2 is divided into four sub-lessons. Write the letter that you think is the best answer to each question on a sheet of paper. If they work together, they can finish the same job in 4 days. This activity will lead them to the solution of the equation formulated.

Provide the students with an opportunity to develop their understanding of quadratic inequalities. Which of the following quadratic equations has these roots? Give more focus on the real-life applications of quadratic equations. This is half the perimeter of the garden. As the students go through this lesson, let them think of this important question: Ask them to compare the obtained equation and the linear function. Which of the following quadratic equations has no real roots? Information regarding Information regarding information each parabolic arch is each parabolic arch regarding the presented including the is presented including arches.

This activity would give the students opportunities to demonstrate their understanding of solving quadratic equations by completing the square. Before they perform the next set of activities, let them read and understand first some important notes on solving quadratic equations by using the quadratic formula. Quadratic Inequalities — These are mathematical sentences that can be written in any of the following forms: March 24, Let the students think deeply and test further their understanding of the applications of quadratic equations by doing Activity 5.

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