Asked by ZoeGeneral 🏛

# How do you complete the square? ### VERIFIED ### George Hobson

Qualified Maths Teacher, with a track record of improving results!

(^ means “to the power of”) For example: x^2 + 6x - 10 We halve the number before the x and put it into a bracket with the x and square the bracket as below. (x + 3)^2 We don’t want the 3^2 so we subtract 9 (3^2 is 9). (x + 3)^2 - 9 Finally keep the number from the original equation the same. So, (x + 3)^2 - 9 - 10 Final answer = (x+3)^2 - 19 It’s gets a little harder if you have a number in front of your x squared term, but I hope this helps! ### VERIFIED ### Josh Prince

I want to help you achieve amazing GCSE results!

This is a harder topic so it might be best to book a session with a tutor even just half an hour and you should be able to really get the hang of it. I’m available for sessions if you’re interested? However here is an explanation: For example x²+4x+6=0 To complete the square you take x + half of the coefficient of x,so 2 in this case, and put them in a bracket and square it. (X+2)² which means (X+2)(X+2) Expand this and see what you have to do to it to get x²+4x+6=0 x²+4x+4 is the expanded form so you need to add two to get to x²+4x+6=0 (X+2)² +2 = 0 is the completed square

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