solving a quadratic equation needing simplification

SOLVING A QUADRATIC EQUATION NEEDING SIMPLIFICATION HOW TO

I know this one seems counterproductive, especially in the light of the next simplification methods. This makes it easier to use in other mathematical calculations and also easier to write out. The process only applies as a simplification method if you are solving long, combined algebraic equations. Simply put, we take a long equation and simplify it by factoring it back into a shorter equation. This one is trickier as it involves a different knowledge of algebra operations, and it is also not technically simplified. Or 3a -5b + 3ab + 7a = 22, which would be simplified to: 10a – 5b +3ab = 22.Įssentially, look for any like terms like a, y, e, or with any other unknown coefficients. This simply means putting together whichever terms are the same to shorten the equation.ġ7x + 3y – 9x would be simplified to 8x + 3y because we combined the x terms. Combining the like termsįirst, we'll need to combine the like terms in the equation.

SOLVING A QUADRATIC EQUATION NEEDING SIMPLIFICATION HOW TO

We shall go through each of these methods step by step to truly understand how to make an algebraic equation simpler to solve.

Expansion of equations that is the Distributive Property.

There are some common methods used to simplify algebraic equations which are as follows:

It requires a step by step process that is easy to follow and often straight forward. To simplify means to make it easier to understand and solve by putting the equation in its simplest form. Algebra equations are all almost always solved by simplifying the equation first. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. We recommend using aĪuthors: Lynn Marecek, Andrea Honeycutt Mathis Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission. Together you can come up with a plan to get you the help you need. See your instructor as soon as you can to discuss your situation. You should get help right away or you will quickly be overwhelmed. …no - I don’t get it! This is a warning sign and you must not ignore it. Is there a place on campus where math tutors are available? Can your study skills be improved? Whom can you ask for help?Your fellow classmates and instructor are good resources. It is important to make sure you have a strong foundation before you move on.

In math every topic builds upon previous work. This must be addressed quickly because topics you do not master become potholes in your road to success. What did you do to become confident of your ability to do these things? Be specific. Reflect on the study skills you used so that you can continue to use them. Congratulations! You have achieved the objectives in this section.

Ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.Ĭhoose how would you respond to the statement “I can solve quadratic equations of the form a times the square of x minus h equals k using the Square Root Property.” “Confidently,” “with some help,” or “No, I don’t get it.” In your own words, explain how to use the Square Root Property to solve the quadratic equation ( x + 2 ) 2 = 16 ( x + 2 ) 2 = 16. We earlier defined the square root of a number in this way: So, every positive number has two square roots-one positive and one negative. Therefore, both 13 and −13 are square roots of 169. Previously we learned that since 169 is the square of 13, we can also say that 13 is a square root of 169. īut what happens when we have an equation like x 2 = 7? Since 7 is not a perfect square, we cannot solve the equation by factoring.

In each case, we would get two solutions, x = 4, x = −4 x = 4, x = −4 and x = 5, x = −5. We can easily use factoring to find the solutions of similar equations, like x 2 = 16 and x 2 = 25, because 16 and 25 are perfect squares.

Solving a quadratic equation needing simplification