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The equation x^2 - 9 = 0 has roots that are: (2019)
The equation x^2 - 9 = 0 has roots that are: (2019)
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Practice Questions
1 question
Q1
The equation x^2 - 9 = 0 has roots that are: (2019)
-3 and 3
0 and 9
3 and 9
1 and -1
Show Solution
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Factoring gives (x-3)(x+3)=0, hence the roots are -3 and 3.
Questions & Step-by-step Solutions
1 item
Q
Q: The equation x^2 - 9 = 0 has roots that are: (2019)
Solution:
Factoring gives (x-3)(x+3)=0, hence the roots are -3 and 3.
Steps: 7
Show Steps
Step 1: Start with the equation x^2 - 9 = 0.
Step 2: Recognize that x^2 - 9 is a difference of squares, which can be factored.
Step 3: Factor the equation into (x - 3)(x + 3) = 0.
Step 4: Set each factor equal to zero: x - 3 = 0 and x + 3 = 0.
Step 5: Solve the first equation: x - 3 = 0 gives x = 3.
Step 6: Solve the second equation: x + 3 = 0 gives x = -3.
Step 7: The roots of the equation are -3 and 3.
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