Algebra I: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling

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Chapter 14

      Taking on Quadratic Equations

      A quadratic equation has the form . The equation can have exactly two solutions, only one solution (a double root), or no solutions among the real numbers. Where no real solution occurs, imaginary numbers are brought into the picture. Quadratic equations are solved most easily when the expression is set to 0 factors, but the quadratic formula is also a nice means to finding solutions.

The Problems You’ll Work On

      In this chapter, you work with quadratic equations in the following ways:

       Applying the square root rule

       Solving equations by using factoring and the multiplication property of 0

       Using the quadratic formula and simplifying radicals when possible

       Solving quadratic equations by completing the square

       Introducing imaginary solutions

       Simplifying complex solutions with or without radicals

What to Watch Out For

      Don’t get too caught up in your work and neglect the following:

       Applying the square root rule only when you have ax2 = c

       Using the correct signs when applying the multiplication property of 0

       Watching the order of operations when simplifying the work in the quadratic formula

       Simplifying the fraction correctly in the quadratic formula

       Pulling out the square root of –1 when determining imaginary roots

Applying the Square Root Rule to Quadratic Equations

      606–613 Solve each quadratic equation using the square root rule.

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Solving Quadratic Equations Using Factoring

      614–629 Solve the quadratic equations using factoring.

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Applying the Quadratic Formula to Quadratic Equations

      630–641 Solve each quadratic equation using the quadratic formula.

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