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What are the roots of the equation x^2 - 5x + 6 = 0?
What are the roots of the equation x^2 - 5x + 6 = 0?
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Practice Questions
1 question
Q1
What are the roots of the equation x^2 - 5x + 6 = 0?
1 and 6
2 and 3
3 and 4
0 and 6
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Factoring gives (x - 2)(x - 3) = 0, so x = 2 and x = 3.
Questions & Step-by-step Solutions
1 item
Q
Q: What are the roots of the equation x^2 - 5x + 6 = 0?
Solution:
Factoring gives (x - 2)(x - 3) = 0, so x = 2 and x = 3.
Steps: 6
Show Steps
Step 1: Start with the equation x^2 - 5x + 6 = 0.
Step 2: Look for two numbers that multiply to 6 (the last number) and add up to -5 (the middle number).
Step 3: The numbers -2 and -3 work because -2 * -3 = 6 and -2 + -3 = -5.
Step 4: Rewrite the equation using these numbers: (x - 2)(x - 3) = 0.
Step 5: Set each factor equal to zero: x - 2 = 0 and x - 3 = 0.
Step 6: Solve for x in each equation: x = 2 and x = 3.
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