How do you complete the square?

You start off with a formula in the form y = x2 + bx. The first step is to add the square of half of the coefficient of x: (b/2)2. This allows us to rearrange the formula into (x+ b/2)2 . However, our formula is not equal to what we started with since we added (b/2)2 so we have to subtract it from the end. If the formula you start with has a constant (a term without the variable x) you ignore it in order to rearrange the x2 +bx part and then add it back on at the end as it will combine with the (b/2)2 term we subtracted.

JM
Answered by Jamie M. Maths tutor

2824 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand the following : (2x+3)(x-1)


When do I use Sin, Cos and Tan?


(x+2)/(x-3) - (x-1)/(x+3) can be written in the form (ax+b)/(x^2-9). Work out the value of a and the value of b.


3y^2 + 10y + 3


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning