Question

If x=4 is one root of the quadratic equation x²-2kx-6=0 then find value ok k.​

Answer 1

Answer:

k=5/4

Step-by-step explanation:

Let

p(x) = x²-2kx-6=0

x= 4 is one root of the quadratic equation

Remainder = p(4) = 0

=> p(4)=0

=> (4)²-2k(4) - 6 = 0

=> 16-8k-6=0

=> -8k=6-16

=> - 8k = -10

=> k=10/8

=> k=5/4