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If one root of the quadratic equation x^2 - 4x + k = 0 is 2, what is the value o
If one root of the quadratic equation x^2 - 4x + k = 0 is 2, what is the value of k? (2021)
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If one root of the quadratic equation x^2 - 4x + k = 0 is 2, what is the value of k? (2021)
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Substituting x = 2 into the equation gives 2^2 - 4*2 + k = 0, which simplifies to k = 4.
Questions & Step-by-step Solutions
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Q: If one root of the quadratic equation x^2 - 4x + k = 0 is 2, what is the value of k? (2021)
Solution:
Substituting x = 2 into the equation gives 2^2 - 4*2 + k = 0, which simplifies to k = 4.
Steps: 8
Show Steps
Step 1: Start with the quadratic equation: x^2 - 4x + k = 0.
Step 2: We know that one root of the equation is 2.
Step 3: Substitute x = 2 into the equation: 2^2 - 4*2 + k = 0.
Step 4: Calculate 2^2, which is 4.
Step 5: Calculate -4*2, which is -8.
Step 6: Now the equation looks like: 4 - 8 + k = 0.
Step 7: Simplify the left side: 4 - 8 equals -4, so we have -4 + k = 0.
Step 8: To find k, add 4 to both sides of the equation: k = 4.
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