Question

What number should be added to both sides of the equation to complete the square x^2+3x=6

Answer 1

3

Explanation:

Answer 2

Take half of the coefficient of x: It is 3, and half that is 3/2.


Then x^2+3x=6 becomes:

x^2+3x + (3/2)^2 =6 + (3/2)^2, and

(x+3/2)^2 = 6 + 9/4

You were not asked to solve the equation, but why not do it for the practice?

Solve (x+3/2)^2 = 6 + 9/4 for x. There will be 2 values.