Question

How do you solve using the completing the square method `x^2 + 3x - (7/4) = 0`?

Answer 1

Completing the square allows you to find the maximum or minimum point of a quadratic function. See working below.

Explanation:

`x^2` + 3x -`(7/4)` = 0
`(x + (3/2))^2` - `(3/2)^2` - `(7/4)` =0
`(x + 3/2)^2` - 4 =0
Hence the vertex has a coordinate of y= -4 and x = - `3/2`
Maximum point = (`-3/2`, -4)