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If one root of the equation x² - 6x + k = 0 is 2, find k. (2022)
If one root of the equation x² - 6x + k = 0 is 2, find k. (2022)
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Q1
If one root of the equation x² - 6x + k = 0 is 2, find k. (2022)
8
10
12
6
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Using the root 2 in the equation: 2² - 6*2 + k = 0, we find k = 10.
Questions & Step-by-step Solutions
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Q
Q: If one root of the equation x² - 6x + k = 0 is 2, find k. (2022)
Solution:
Using the root 2 in the equation: 2² - 6*2 + k = 0, we find k = 10.
Steps: 8
Show Steps
Step 1: Start with the equation x² - 6x + k = 0.
Step 2: We know that one root of the equation is 2.
Step 3: Substitute 2 for x in the equation: 2² - 6*2 + k = 0.
Step 4: Calculate 2², which is 4.
Step 5: Calculate -6*2, which is -12.
Step 6: Now the equation looks like: 4 - 12 + k = 0.
Step 7: Simplify the left side: 4 - 12 equals -8, so we have -8 + k = 0.
Step 8: To find k, add 8 to both sides: k = 8.
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