Question

Find the value of k for which one root of the quadratic equation kx-14x+8=0 is 2

Answer 1

Given that, 2 is a root of the equation kx - 14x + 8 = 0. This means that when x = 2, the equation becomes zero. Thus, putting the value of x = 2 in the given equation, we get

k(2) - 14(2) + 8 = 0

2k - 28 + 8 = 0

2k = 20

k = 10

Thus, the value of k will be 10 when 2 is the root of the equation kx - 14x + 8 = 0.

Answer 2

Question :

Find the value of k for which one root of the quadratic equation kx-14x+8=0 is 2.

Solution :

Given that one root of p(x) = kx-14x+8=0 is 2 .

And we have to find the value of k,

p(2) = k2-14(2)+8=0

2k -28 +8 = 0

2k - 20 = 0

2k = 20

k = 20/2 = 10

The required value of k is 10