Question

Which value must be added to the expression x2 + x to make it a perfect-square trinomial? One-fourth One-half 1 4

Answer 1

Answer:

a. ¼

(Below is the Screenshot on EdgeCourseware)

Answer 2

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Given

x² + x

To complete the square

add ( half the coefficient of the x- term )² to x² + x

x² + 2($\frac{1}{2}$ )x + ($\frac{1}{2}$ )² = x² + x + $\frac{1}{4}$

= (x + $\frac{1}{2}$ )² ← perfect square