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

C) Square half of
`(2)/(5)` and add to both sides;
`(1)/(25)`

Explanation:

x² +
`(2)/(5)`x + c

c = (
`(1)/(2)` ×
`(2)/(5)`)² = (
`(1)/(5)`)² =
`(1)/(25)`