Question

8. Which explains why x2 + 14x + 49 = 0 is a perfect square trinomial?

a. All the operational signs are addition.
b. The values of a and c are perfect squares and b = 2√√c.
c. The value of c is a perfect square and b = 2√c.
d. The quadratic equation is equal to 0.

Answer 1

The quadratic equation x^2 + 14x + 49 = 0 is a perfect square trinomial because the values of a and c are perfect squares and b = 2√√c.

Step-by-step explanation:

To determine if the quadratic equation x2 + 14x + 49 = 0 is a perfect square trinomial, we can compare it to the general form (x + a)2 = x2 + 2ax + a2. Here, a2 = 49 and 2a = 14. Therefore, a = 7. Since a is a perfect square and 2a = 14, option b. The values of a and c are perfect squares and b = 2√√c, explains why x2 + 14x + 49 = 0 is a perfect square trinomial.

Learn more about Perfect square trinomials