Find the value of k if (x-3) is a factor of x²-kx-2 (detailed answer needed)
Answers
Answered by
3
7/3 is the answer......
x=3
putting the value of x in
the above equation
9-3k-2
7-3k
7=3k
k=7/3
x=3
putting the value of x in
the above equation
9-3k-2
7-3k
7=3k
k=7/3
Answered by
4
(x-3) is a factor of x²-kx-2
x-3 = 0
x = 3
∴ x = 3 is a factor of given equation
x²-kx-2 = 0
3²-k(3)-2 = 0
9-3k-2 = 0
-3k+7 = 0
-3k = -7
3k = 7
k = 7/3
x-3 = 0
x = 3
∴ x = 3 is a factor of given equation
x²-kx-2 = 0
3²-k(3)-2 = 0
9-3k-2 = 0
-3k+7 = 0
-3k = -7
3k = 7
k = 7/3
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