Asked by ZoeGeneral πŸ›

How do you complete the square?

Profile picture

VERIFIED

Verified tutor tick

George Hobson

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

(^ means β€œto 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!

Profile picture

VERIFIED

Verified tutor tick

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 xΒ²+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)Β² which means (X+2)(X+2) Expand this and see what you have to do to it to get xΒ²+4x+6=0 xΒ²+4x+4 is the expanded form so you need to add two to get to xΒ²+4x+6=0 (X+2)Β² +2 = 0 is the completed square

Answers from these tutors

Asked in General πŸ›

ASKED BY SASHA

GENERAL πŸ›

Context about An Inspector Calls? (1912?

It is an example of immediate post-war drama, it was written after World War Two. Post-war dramas take up some of the economic, political, and socia...

ASKED BY TASNIM

GENERAL πŸ›

How is judicial review challenge Parliamentary Sovereignty in terms of Human Rights Act 1998?

The basis of the British constitution is that parliament is sovereign - meaning parliament is the supreme law making body and no other body can amen...

ASKED BY CAITLIN GRACE

GENERAL πŸ›

How do you solve the simultaneous equations xsquared + ysquared =9 and x+y=2?

The squared equation is a circle who’s centre is the origin and radius 3 units. The linear equation is a straight line of Y=-x + 2 Solo of -1 and cr...

ASKED BY BEN

GENERAL πŸ›

I am 5 months into my college year. I have overall been set 33 tasks. And j have done 7. Is there any specific tips that will help me catch up?

Here’s a couple of tips. 1. Look at the list of task and put them in order of priority. These could be based on those that have an upcoming deadline...

ASKED BY IHSAN

GENERAL πŸ›

What are the advantages and disadvantages of having a UK codified constitution?

Advantages: Codified constitutions tend to be more difficult to amend and therefore better protect individual rights. Currently, British constitutio...

ASKED BY TASNIM

GENERAL πŸ›

What is the difference between periodic tenancy and tenancy at will?

Periodic tenancy requires notice that is either equal to the length of the tenancy or agreed otherwise while tenancy at will does not have this requ...

ASKED BY PHOEBE-LILY

GENERAL πŸ›

Why is eating a healthy, balanced diet so important to the body?

Eating a healthy, balanced diet is an important part of maintaining good health, and can help you feel your best. This means eating a wide variety o...

ASKED BY BLESSING

GENERAL πŸ›

Explain the similarities and differences in the composition inhaled and exhaled air?

The composition of exhaled air (air that is breathed out) is very different from the composition of inhaled air (air that is breathed in). Inhaled a...

ASKED BY TASNIM

GENERAL πŸ›

What is an equitable interest under resulting trust?

In the context of property, resulting trusts generally arise when an individual has made a contribution to the purchase price but not intended as a ...

ASKED BY YASHVI

GENERAL πŸ›

Why are stem cells (from bone marrow) able to repair damaged heart tissue?

Stem cells are unspecialised cells that can differentiate and be used to repair various tissues, including heart one. When used in medical intervent...

Find me a tutor

We take your privacy seriously. View our policy.