If x=5 is one root of the quadratic equation x²-2kx-6=0 then find value ok k.
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Answer:
Answer is 19/10
Step-by-step explanation:
Suppose
p(x) = x²-2kx-6=0
x= 5 is one root of the quadratic equation
Remainder = p(5) = 0
=> p(5)=0
=> (5)²-2k(5) - 6 = 0
=> 25-10k-6=0
=> -10k=6-25
=> - 10k = -19
=> k=19/10
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