Question

When you apply the method to complete the square to find the solution to the equation

2x^2 +3x +3=4
What term should we sum/add on both sides of the equation?

A. 9
B. 9/4
C. 3/2
D. 9/16

Answer 1

B

Explanation:

x² + 3x + 3 = 4 ( subtract 3 from both sides )

x² + 3x = 1

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(
`(3)/(2)` )x + (
`(3)/(2)` )² = 1 + (
`(3)/(2)` )²

(x +
`(3)/(2)` )² +
`(9)/(4)` = 1 +
`(9)/(4)`

that is
`(9)/(4)` is added to both sides