If 6 is a zero of the polynomial x²-5x-k,then find the value of k
Answers
Answered by
12
Answer:
k = 6
Step-by-step explanation:
x² - 5x - k = 0
(6)² - 5 (6) -k =0
36 - 30 = k
∴ k = 6
Answered by
0
The value of k is 6.
Given,
6 is a zero of polynomial x²-5x-k.
To Find,
The value of k.
Solution,
Zero of a polynomial is a number that satisfies the polynomial when substituted in it.
Now, the given zero of the polynomial is 6. So when 6 will be substituted in x²-5x-k will give the result as 0.
So,
6²-5(6)-k = 0
Now, we will solve this equation
36-30-k = 0
k = 6
Hence, the value of k is 6.
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