Download e-book for iPad: Algebra II Essentials For Dummies (For Dummies (Math & by Mary Jane Sterling

By Mary Jane Sterling

ISBN-10: 047061840X

ISBN-13: 9780470618400

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You can use a law of radicals to simplify a radical expression. Separate the number under the radical into two factors — one of which is a perfect square: . Chapter 3: Making Quick Work of Quadratic Equations 25 Solving Quadratic Equations by Factoring When you can factor a quadratic expression that’s part of a quadratic equation you can solve quadratic equations by setting the factored expression equal to zero (making it an equation) and then using the multiplication property of zero (MPZ; see Chapter 1).

The other solution, x = 34, doesn’t work in the equation. The number 34 is an extraneous solution. Dealing with Negative Exponents Equations with negative exponents offer some unique challenges. In general, negative exponents are easier to work with if they disappear. Yes, as wonderful as negative exponents are in the world of mathematics, solving equations that contain them is often easier if you can change the format to positive exponents and fractions and then deal with solving the fractional equations (as shown in the previous section).

You can see in the following figure that the numerator is positive when x is greater than 2, and the denominator is positive when x is greater than –6. (−) (−) (−) (+) (+) (+) 2 −6 6. When determining the solution, keep in mind that the inequality calls for something less than or equal to zero. The fraction is a negative number when you choose an x between –6 and 2. You get a negative numerator and a positive denominator, which gives a negative result. Another solution to the original inequality is the number 2.

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Algebra II Essentials For Dummies (For Dummies (Math & Science)) by Mary Jane Sterling

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