SOLVING QUADRATIC EQUATIONS

Note:

• A quadratic equation is a polynomial equation of degree 2.

• The ''U'' shaped graph of a quadratic is called a parabola.

• A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions.

• There are several methods you can use to solve a quadratic equation:
  1. Factoring
  2. Completing the Square
  3. Quadratic Formula
  4. Graphing

• All methods start with setting the equation equal to zero.

If you have forgotten how to manipulate fractions, click on Fractions for a review.

Almost all precalculus students hate fractions before they renew their love for them. The following step will transform the equation into an equivalent equation without fractions.

If you have forgotten what equivalent means, think of a dollar. You can represent the dollar with a dollar bill, 10 dimes, 20 nickels, or 100 pennies. All of these are equivalent because all have the value of a dollar.Got it. If not, click on Equivalence for a review.

Solve for x in the following equation.

If you would like to see the answers and the solutions, click on solution.

Problem 4.4a:

Solution

Problem 4.4b:

Solution

Problem 4.4c:

Solution

Problem 4.4d:

Solution

If you would like to go back to the equation table of contents, click on Contents

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