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If x^2 + 2x + 1 = 0, what is the value of x?
If x^2 + 2x + 1 = 0, what is the value of x?
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Q1
If x^2 + 2x + 1 = 0, what is the value of x?
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This is a perfect square: (x + 1)^2 = 0 => x = -1.
Questions & Step-by-step Solutions
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Q
Q: If x^2 + 2x + 1 = 0, what is the value of x?
Solution:
This is a perfect square: (x + 1)^2 = 0 => x = -1.
Steps: 5
Show Steps
Step 1: Start with the equation x^2 + 2x + 1 = 0.
Step 2: Recognize that the left side can be factored as (x + 1)(x + 1) or (x + 1)^2.
Step 3: Rewrite the equation as (x + 1)^2 = 0.
Step 4: To solve for x, take the square root of both sides: x + 1 = 0.
Step 5: Subtract 1 from both sides to isolate x: x = -1.
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