Let me illustrate this with another example. The above method is pretty universal and handy if you don't remember a formula for solutions of a quadratic equation. Therefore, it is reasonable to transform the original equation intoįrom the last equation, which is absolutely equivalent to the original one, using the operation of the square root, we derive two linear equations: So, let's transform our equation to this form.Įxpression #x^2+x# is not a square of anything, but #x^2+x+1/4# is a square of #x+1/2# because If we could transform it to something like #y^2=b# then the square root of both sides would deliver a solution. Here is the idea.Īssume, for example, the same equation as analyzed in the previous answer: However, with certain transformation of a given equation into a different but equivalent form it is possible. If the question is about using the square root directly against the equation, the answer is definitely NO. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. We recommend using aĪuthors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis Use the information below to generate a citation. Take the square root of both sides of the equation, putting a ± ± sign before the expression on the side opposite the squared term. Isolate the x2 x 2 term on one side of the equal sign. Then you must include on every digital page view the following attribution: How To: Given a quadratic equation with an x2 x 2 term but no x x term, use the square root property to solve it. 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. ![]() We can use the formula s = A s = A to find the length of a side of a square for a given area. A = s A = s 2 Take the square root of both sides. What if we want to find the length of a side for a given area? Then we need to solve the equation for s.Ī = s 2 Take the square root of both sides. The formula A = s 2 A = s 2 gives us the area of a square if we know the length of a side. If we let s be the length of a side of a square, the area of the square is s 2 s 2. A square is a rectangle in which the length and width are equal.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |