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If x^2 - 6x + 9 = 0, what is the value of x?
If x^2 - 6x + 9 = 0, what is the value of x?
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Q1
If x^2 - 6x + 9 = 0, what is the value of x?
3
6
9
0
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This is a perfect square: (x - 3)^2 = 0, so x = 3.
Questions & Step-by-step Solutions
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Q
Q: If x^2 - 6x + 9 = 0, what is the value of x?
Solution:
This is a perfect square: (x - 3)^2 = 0, so x = 3.
Steps: 6
Show Steps
Step 1: Start with the equation x^2 - 6x + 9 = 0.
Step 2: Recognize that the left side can be factored as a perfect square.
Step 3: Rewrite the equation as (x - 3)(x - 3) = 0.
Step 4: This can also be written as (x - 3)^2 = 0.
Step 5: To solve for x, take the square root of both sides: x - 3 = 0.
Step 6: Add 3 to both sides to isolate x: x = 3.
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