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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 5b <strong>–</strong> Solving Quadratic Equations<br />

In this lesson, we will continue our work with Quadratics in this lesson and will learn several<br />

methods for solving quadratic equations.<br />

The first section will introduce you to the types of solutions that can occur. You may remember<br />

in L5a that we worked with x-intercepts of a parabola. Turns out that if the given quadratic<br />

equation is in standard form, then those x-intercepts correspond to solutions for the equation.<br />

Graphing is the first method you will work with to solve quadratic equations followed by<br />

factoring and then the quadratic formula. You will get a tiny taste of something called Complex<br />

Numbers and then will finish up by putting all the solution methods together.<br />

Pay special attention to the problems you are working with and details such as signs and<br />

coefficients of variable terms. Extra attention to detail will pay off in this lesson.<br />

Lesson Objectives<br />

By the end of this lesson, you should be able to:<br />

1. Determine the number and type of solutions to a QUADRATIC EQUATION by<br />

graphing<br />

2. Identify solutions to QUADRATIC EQUATIONS in standard form as x-intercepts of<br />

the parabola<br />

3. Solve QUADRATIC EQUATIONS by factoring (and check by graphing)<br />

4. Solve QUADRATIC EQUATIONS using the QUADRATIC FORMULA<br />

5. Identify members of the set of COMPLEX NUMBERS<br />

6. Perform operations with COMPLEX NUMBERS<br />

Scottsdale Community College Page 207 <strong>Intermediate</strong> <strong>Algebra</strong>

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