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Find the roots of the equation x^2 + 5x + 6 = 0.
Find the roots of the equation x^2 + 5x + 6 = 0.
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Practice Questions
1 question
Q1
Find the roots of the equation x^2 + 5x + 6 = 0.
-2, -3
-1, -6
-3, -2
0, -6
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The roots are x = -2 and x = -3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the roots of the equation x^2 + 5x + 6 = 0.
Solution:
The roots are x = -2 and x = -3.
Steps: 7
Show Steps
Step 1: Identify the equation you need to solve, which is x^2 + 5x + 6 = 0.
Step 2: Look for two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of x).
Step 3: The two numbers that work are 2 and 3 because 2 * 3 = 6 and 2 + 3 = 5.
Step 4: Rewrite the equation using these two 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.
Step 7: The roots of the equation are x = -2 and x = -3.
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