Final answer:
To make the left side of the equation a perfect square trinomial, the coefficient of the middle term should be twice the square root of the coefficient of the first term. For the given equation, k=2.
Step-by-step explanation:
To make the left side of the equation a perfect square trinomial, we need to make sure that the coefficient of the middle term is twice the square root of the coefficient of the first term. In this case, the first term is x² and the coefficient of the first term is 1. Therefore, the coefficient of the middle term, which is -kx, should be twice the square root of 1, or -2x. This means that k = 2.
Learn more about Perfect Square Trinomials