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SOLVING QUADRATICS DAY 3 (IN THE CALCULATOR) EQ: How can points of intersection be used to solve any equation?

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Presentation on theme: "SOLVING QUADRATICS DAY 3 (IN THE CALCULATOR) EQ: How can points of intersection be used to solve any equation?"— Presentation transcript:

1 SOLVING QUADRATICS DAY 3 (IN THE CALCULATOR) EQ: How can points of intersection be used to solve any equation?

2 Task: Find all of the solutions of the equation using the graphing calculator  I’m being asked to…  I’ll know I have the correct answers if …

3  The expression on the left side of the equal sign is ….  The value on the right side of the equal sign is…

4 Let’s Solve It! Y 1 = __________________________ (Black) Y 2 = __________________________ (Red)

5  a. How can you tell by looking at the table what the solutions will be?  b. How can you tell by looking at the graph what the solutions will be?

6  c. What are your solutions? X = ________ and X = _________  d. Check your solutions:  e. In what situation would this method NOT work? Why?

7 Press 2 nd, Calc (Trace button) and look at your different choices.  Which option could be used to find the exact solutions?

8 First Curve? Second Curve?Guess?

9 Calc Practice

10 Ex 1) Solve using the calculator Solutions: _______________________

11 Ex 2) Solve using the calculator Solutions: _______________________

12 Summary

13 Problems with you may encounter: “Error” message: 1) Did you put the equations in correctly? 2) Do you need to change the window? Answer are written in radical form: 1) Do you have enough time to do the quadratic formula? 2) Can you determine which radical expression is equivalent?

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15 Check your solutions:

16 You Try! Solve for x using the calculator: x(x – 5) = -3x + 1  Do you HAVE to simplify the expressions first?  Do you HAVE to set the equation equal to zero?

17 #1 Find the left intersection and wait for me to check it!

18 Find the left intersection and wait for me to check it!

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