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In Exercises 4346, let x represent one number and let y represent the other number. Use the

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In Exercises 43–46, let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers.

The difference between the squares of two numbers is 3. Twice the square of the first number increased by the square of the second number is 9. Find the numbers.

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Eliminate the yterms by adding the eq...View the full answer


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College Algebra

College Algebra

ISBN: 9780134453262

7th Edition

Authors: Robert F Blitzer

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Related Video

The square of a number is the result of multiplying that number by itself. This is also known as \"raising a number to the power of 2\" or \"squaring a number\". The concept of squaring a number is important in many areas of mathematics and science, including geometry, trigonometry, and physics. It is also used in computer programming and data analysis. The square of a number is always positive, except for the square of 0, which is 0. When a negative number is squared, the result is positive. For example, the square of -3 is 9, since (-3) x (-3) = 9. To square a two-digit number, you can use the following formula: (A x 10 + B)^2 = A^2 x 100 + 2AB x 10 + B^2 Where A represents the tens digit and B represents the ones digit of the two-digit number. In this video, you can learn a fascinating math technique to quickly compute the square of any two-digit number. This trick involves three simple steps that enable you to arrive at the answer in a matter of seconds. The video demonstrates this method using three different examples, and you can try it out yourself and share your score in the comments section. You can also see how other students are performing using this technique.

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