Given information:
We are given a quadratic equation in the form of kx^2 - 14x + 8 = 0, and we are asked to find the value of k for which one root of the equation is 2.

Quadratic equation:
A quadratic equation is a polynomial equation of the second degree, which can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants, and a ≠ 0.

Roots of a quadratic equation:
The roots of a quadratic equation are the values of x that satisfy the equation. A quadratic equation can have zero, one, or two roots.

One root of the equation is 2:
We are given that one root of the equation is 2. This means that when we substitute x = 2 into the equation, it should satisfy the equation and make it true.

Substituting x = 2:
Let's substitute x = 2 into the quadratic equation and simplify it.

k(2)^2 - 14(2) + 8 = 0
4k - 28 + 8 = 0
4k - 20 = 0
4k = 20
k = 5

Conclusion:
By substituting x = 2 into the quadratic equation, we found that the value of k for which one root of the equation is 2 is k = 5.

14x+8 ya 14x-8