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Algebra 1

8.3.1 Determining the Number of Solutions

Algebra 18.3.1 Determining the Number of Solutions
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Warm Up

How many solutions does each equation have? Be prepared to show your reasoning.

1.

x 2 = 9 x 2 = 9

2.

x 2 = 0 x 2 = 0

3.

x 2 − 1 = 3 x 2 − 1 = 3

4.

2 x 2 = 50 2 x 2 = 50

5.

( x + 1 ) ( x + 1 ) = 0 ( x + 1 ) ( x + 1 ) = 0

6.

x ( x − 6 ) = 0 x ( x − 6 ) = 0

7.

( x − 1 ) ( x − 1 ) = 4 ( x − 1 ) ( x − 1 ) = 4

8.

How are the solutions to questions 2 and 5 different from the other solutions?

A double root is a root that appears twice in the solution of an algebraic equation.

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