What are quadratic equations, and how do inequalities change how you solve them? This mathematics course has been created to teach you the functions and different methods of solving such equations. You will learn about factoring, graphing and completing the square alongside the various steps involved in the derivation of the quadratic formula. You will go on to explore the discriminant of roots, as well as how to find the sum and product of roots and their relationship to the coefficients of the equation.
Next, you will move on to other methods of solving quadratic equations such as frame problems and projectile motion. Spend time on the two methods of solving quadratic-linear systems: solving quadratic-linear systems graphically and algebraically. Take a deep dive into the concepts of quadratic inequalities and solve them using algebraic methods of set theory and number line analysis. Learn to identify the concepts of transcendental and trigonometric functions. The graphing, applications and inverse of exponential functions will also be covered extensively as you become familiar with Type I and Type II exponential functions.
Finally, you will master the topic of logarithmic functions. Beginning with the concepts, you will go on to understand the five laws of logarithms and natural logarithms. Practise how to plot the graph of a logarithmic function, and gain insight on how to change between exponential and logarithmic forms. You will also cover the derivation of the change of base formula and its applications, and how to solve logarithmic equations both algebraically and graphically. The application of the logarithmic scale in measuring the acidity of a solution and measuring the intensity of sound waves will also be covered. This course will be of great interest to students, researchers, and anyone with an interest in understanding quadratic equations and inequalities. So, register for this course and start your next learning journey today.
Start Course Now What You Will Learn In This Free Course
View All Learning Outcomes View Less All Alison courses are free to enrol study and complete. To successfully complete this course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this course, you have the option to acquire an official Diploma, which is a great way to share your achievement with the world.
Your Alison is:
- Ideal for sharing with potential employers
- Include it in your CV, professional social media profiles and job applications.
- An indication of your commitment to continuously learn, upskill & achieve high results.
- An incentive for you to continue empowering yourself through lifelong learning.
Alison offers 3 types of Diplomas for completed Diploma courses:
- Digital : a downloadable in PDF format immediately available to you when you complete your purchase.
- : a physical version of your officially branded and security-marked , posted to you with FREE shipping.
- Framed : a physical version of your officially branded and security marked in a stylish frame, posted to you with FREE shipping.
All are available to purchase through the Alison Shop. For more information on purchasing Alison , please visit our FAQs. If you decide not to purchase your Alison , you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our pricing, please visit our Pricing Page
Knowledge & Skills You Will Learn
