Path Finder

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-Lesson
-Practice
-TI-NSPIRE

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Lessons are reviews of notes from the textbook.

Practice questions are extra material for students to use.
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TI-NSPIRE activities are fun problems to enhance the learning of graphing.
Links are given as lesson plans.

Tuesday, December 1, 2009

Practice Problem 3

Solve this on paper, preferably without a calculator:
1x2-4x+3 = 0
After you are done, you can click this button to see the solution, to check if you got it right.













Quick Answer
Actual Graph of y = 1 x2-4 x+3 x = 3, 1 (sometimes solutions may be close approximations of the actual solutions)
Expression factored: 1 x2-4 x+3 = (x-3)(x-1)
Solution ExplainedEquation:
a = 1 b = -4c = 3
Discriminant: b2-4ac = 4 2-4*1*3 = 4
Discriminant (4) is greater than zero. The equation has two solutions.
or
or
x1,2 = (4 ± 2) / 2*1
or
x1 = 6 / 2 = 3
x2 = 2 / 2 = 1
or
x1,2 = 3, 1
Equation factored:
(x-3)(x-1)

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