Question

What number should be added to both sides of the equation to complete the square X2+3x=6

Answer 1

add 6

Explanation:

Answer 2

`(9)/(4)`

Explanation:

Here we will first split the middle term in such way that it is a product of 2 and some factor. In this case 3 can be splitter as product of 2 and 3/2.

We then add the square of 3/2 on both sides. Let us see how:

`x^2+3x=6\\x^2+2*(3)/(2)*x=6\\x^2+2*(3)/(2)*x+((3)/(2))^2=6+((3)/(2))^2\\(x+(3)/(2))^2=6+(9)/(4)\\(x+(3)/(2))^2=(33)/(4)`