Question

Heyyo, can I get some help?
To complete the square, how do you find the value that must be added to the expression to make a perfect square trinomial?
What is the value? x^2 + 2/5x + ?

A)square 2/5 and add to both sides; 4/25
B)take half of 2/5 and add to both sides; 1/5
C)square half of 2/5 and add to both sides; 1/25
D)take half of 2/5 and add the opposite to both sides; −1/5

Answer 1

Answer:

C) Square half of $\frac{2}{5}$ and add to both sides; $\frac{1}{25}$

Step-by-step explanation:

x² + $\frac{2}{5}$x + c

c = ($\frac{1}{2}$ × $\frac{2}{5}$)² = ($\frac{1}{5}$)² = $\frac{1}{25}$