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What is the value of x in the equation x^2 - 2x - 8 = 0?
What is the value of x in the equation x^2 - 2x - 8 = 0?
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Practice Questions
1 question
Q1
What is the value of x in the equation x^2 - 2x - 8 = 0?
-2
2
4
-4
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Factoring gives (x - 4)(x + 2) = 0, so x = 4 or x = -2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of x in the equation x^2 - 2x - 8 = 0?
Solution:
Factoring gives (x - 4)(x + 2) = 0, so x = 4 or x = -2.
Steps: 8
Show Steps
Step 1: Start with the equation x^2 - 2x - 8 = 0.
Step 2: Look for two numbers that multiply to -8 (the last number) and add to -2 (the middle number).
Step 3: The two numbers that work are -4 and +2 because -4 * 2 = -8 and -4 + 2 = -2.
Step 4: Rewrite the equation using these numbers: (x - 4)(x + 2) = 0.
Step 5: Set each factor equal to zero: x - 4 = 0 and x + 2 = 0.
Step 6: Solve the first equation: x - 4 = 0 gives x = 4.
Step 7: Solve the second equation: x + 2 = 0 gives x = -2.
Step 8: The solutions are x = 4 and x = -2.
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