MYTUTOR SUBJECT ANSWERS

739 views

How do you solve an equation by completing the square?

Firstly, you can only complete the square on quadratic functions (functions in the form Ax2+Bx+C)

If A=1,

Consider B, the coefficient of x. Substitute it into ( x + (B/2) )2

We know if we multiply this out, we will get x2+Bx+(B/2)2

However, we want x2+Bx+C. 

We therefore subtract the (B/2)2 we don't want and add the C we do. 

This gives us ( x + (B/2) )2 - (B/2)2 + C. 

This method is called 'completing the sqaure'

If A does not = 1, manipulate the quadratic so it is in the form A( x+ (B/A) x + (C/A))Solve the bracket as normal and multiply through by A at the end.

 

 

Emma J. GCSE Maths tutor, A Level Maths tutor, GCSE Further Mathemati...

2 years ago

Answered by Emma, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

360 SUBJECT SPECIALISTS

£20 /hr

Mihir P.

Degree: Economics (Bachelors) - Cambridge University

Subjects offered:Maths, Economics+ 1 more

Maths
Economics
-Personal Statements-

“Hey! My name is Mihir and I'm a Cambridge Economics student. I'm a friendly, hard-working tutor that will help students gain confidence in exams.”

MyTutor guarantee

£26 /hr

Prina S.

Degree: Environmental Geoscience (Masters) - Bristol University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Geography
Biology

“Hello there! My name is Prina and I love studying and tutoring maths and science. Check out my profile for how I teach and previous students' feedback!”

£20 /hr

Rhys T.

Degree: Medicine (Other) - Cambridge University

Subjects offered:Maths, Science+ 6 more

Maths
Science
Physics
Chemistry
Biology
.UKCAT.
.BMAT (BioMedical Admissions)
-Medical School Preparation-

“Cambridge Medical student tutoring Maths and Science, I am young and enthusiast for my subjects.”

MyTutor guarantee

About the author

Emma J.

Currently unavailable: no new students

Degree: Mathematics (Bachelors) - Exeter University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“First year Maths student at the University of Exeter. Enthusiastic about my subject and looking to tutor at GCSE and A-level.”

MyTutor guarantee

You may also like...

Other A Level Maths questions

Integrate 1/(5-2x) for 3≤x≤4

Solve the differential equation dy/dx = y/x(x + 1) , given that when x = 1, y = 1. Your answer should express y explicitly in terms of x.

How does the product rule for differentiation work

Using the substitution of u=6x+5 find the value of the area under the curve f(x)=(2x-3)(6x+%)^1/2 bounded between x=1 and x=1/2 to 4 decimal places.

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok