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

2984 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

3x + 2 = 11. what is x?


Solve 5(x-6) < 20


In a tennis club, there are twice as many male members as female members. 1/3 of the males wear hats when they play. 1/4 of the females wear hats when they play. 66 members wear hats. How many members does the club have?


Solve the simultaneous equations: 5x+y=21, x-3y=9


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:

© 2026 by IXL Learning