Choosing the Appropriate Method

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Presentation transcript:

Choosing the Appropriate Method

In the quadratic function x2 – 2x + c = 0, c represents an unknown constant. If x = -6 is one of the solutions, what is the other solution?

In the quadratic function x2 – 5x + c = 0, c represents an unknown constant. If x = 4 is one of the solutions, what is the other solution?

In the quadratic function x2 + 3x + c = 0, c represents an unknown constant. If x = -1 is one of the solutions, what is the other solution?

What is the quadratic function that has the solutions 5 and -1? x = 5 and x = -1 x – 5 = 0 and x + 1 = 0 (x - 5)(x + 1) = 0 x2 + x – 5x – 5 = 0 x2 – 4x – 5 = 0

What is the quadratic function that has 2 as its solution? x = 2 and x = 2 x – 2 = 0 and x - 2 = 0 (x – 2)(x – 2) = 0 x2 –2x - 2x + 4 = 0 x2 – 4x + 4 = 0

The 5 Methods Graphing Factoring Square Root Method Quadratic Formula Completing the Square* * Didn’t do this one, but I have notes on my webpage on how to do it if you are interested (in unit 15).

x2 – 2x + 8 = 0

x2 – 3x – 4 = 0

2x2 – x – 4 = 0

x2 + 10x = -16

0 = 4x2 - 144