Question

In solving the equation x2 - 5/2 x = -1, by completing the square, what must be added to both sides of the equation to make the left side a perfect square trinomial?

Answer 1

Answer:

25/16

Step-by-step explanation:

the equation x² - 5/2 x = -1

rearrange, x² - 2×(5/4) x = -1

Add 25/16 to both sides

x² - 2×(5/4) x + 25/16= -1+ 25/16

x² - 2×(5/4) x + (5/4)²= 9/16

(x - 5/4)²= (3/4)²

This is your answer.

Lets simplifying for x,

take square root, (x - 5/4)= (3/4)

x= 5/4+3/4= 8/4= 2

x= 2