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

605.

Chapter 14

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.

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

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

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

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607.

608.

609.

610.

611.

612.

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614–629 Solve the quadratic equations using factoring.

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616.

617.

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621.

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629.

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

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631.

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634.