Below are some problems to use for practice.

Examine the following table for x² - 4x + 9 = 0.

What does the table tell you about the solution? Explain how you arrived at this answer.

Interactive popup. Assistance may be required. Check Your Answer

• There are no 0's in the second column.
• As x gets very small or very large, column 2 gets further away from 0.
• The second column has no negatives.
• All of this tells us that there are no real solutions to this equation. Therefore this graph has no x-intercepts.

Solve the following using the table feature on your graphing calculator (round to the nearest tenth if necessary).

1. 0 = x²+ 9x + 8 Interactive popup. Assistance may be required. Check Your Answer x = -8 or x = 1
   
2. 0 = x²- 4x + 4 Interactive popup. Assistance may be required. Check Your Answer x = 2
   
3. 0 = -3x²+ x - 5 Interactive popup. Assistance may be required. Check Your Answer no real solution
   
4. 5x = 2x²- 3 Interactive popup. Assistance may be required. Check Your Answer x = 3 or x = -0.5
   

How did you enter problem #4 into your calculator?Interactive popup. Assistance may be required. Check Your Answer To solve a quadratic equation, you should first rearrange the equation so that it is in standard form or 0 = 2x² - 5x - 3 .

♦ Solve -x²+ 2x + 27 = 0 to the nearest hundredth using the table feature of your calculator. Then describe how you determined this value in your notes.

♦ Describe how to use the table on the graphing calculator to find an irrational solution to a quadratic equation in your notes.