8.3 Solving Equations by Using Quadratic Methods.

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Presentation transcript:

8.3 Solving Equations by Using Quadratic Methods

Solving Quadratic Equations Solving a Quadratic Equation 1. If the equation is in the form (ax + b) 2 = c, use the square root property to solve. If not, go to Step Write the equation in standard form: ax 2 + bx + c = Try to solve the equation by the factoring method. If not possible, go to Step Solve the equation by the quadratic formula.

Solve the following equation. Example

Solve the following equation. Example

Solve: 9x 4 + 5x 2 – 4 = 0 Example Continued

Solve: 3x 2/3 + 11x 1/3 = 4 Example Continued

Example Together, an experienced word processor and an apprentice word processor can create a document in 6 hours. Alone, the experienced word processor can process the document 2 hours fasters than the apprentice. Find the time in which each person can create the document alone. x = the time in hours it take the apprentice x – 2 = the time in hours it takes the experienced word processor Total Hours to Complete Job Part of Job Completed in 1 Hour Apprentice Experienced Together

Example (cont)

Beach and Fargo are about 400 miles apart. A salesperson travels from Fargo to Beach one day at a certain speed. She returns to Fargo the next day and drives 10 mph faster. Her total time was hours. Find her speed to Beach and the return speed to Fargo. Example Continued

Example (cont)