MYTUTOR SUBJECT ANSWERS

503 views

Find Solution to x^2 + x - 2=0

Using the factorisation method.

the factorised solution will look like (x+a)(x+b) = 0

by multiplying these two brackets we get the equation:

x^2 + a.x+b.x + a.b = 0

so vomparing this to the equation in the question we see

a.b = -2        and       a+b = 1    and   a = -2/b

using substitution:

b^2 - 2 = b

b(b-1) = 2      so     b=2   (try substituting this in)

if b = 2 then a = -1

so the solution is 

(x - 1)(x + 2) = 0

Matthew P. 11 Plus Maths tutor, GCSE Maths tutor, A Level Maths tutor...

12 months ago

Answered by Matthew, a GCSE Maths tutor with MyTutor


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

655 SUBJECT SPECIALISTS

£18 /hr

Kamil F.

Degree: Mechanical Engineering (Masters) - Manchester University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
.PAT.

“"It is the supreme art of the teacher to awaken joy in creative expression and knowledge." Albert Einstein”

£30 /hr

Vicky H.

Degree: Dentistry (Masters) - Leeds University

Subjects offered:Maths, Science+ 12 more

Maths
Science
Mandarin
Human Biology
English Literature
English Language
Chemistry
.UKCAT.
.BMAT (BioMedical Admissions)
-Personal Statements-
-Oxbridge Preparation-
-Medical School Preparation-

“Hi I'm Vicky, I'm a 2nd year dental student at the University of Leeds. I am friendly and patient and have a love for science, maths and teaching.”

£18 /hr

Matthew A.

Degree: BA Biological Sciences (Bachelors) - Oxford, Magdalen College University

Subjects offered:Maths, Physics+ 3 more

Maths
Physics
German
Chemistry
Biology

“Chatty, patient and enthusiastic Oxford Biology student. I did my A Levels just last year (A*A*A*A), so I can share my revision experience to help you achieve!”

About the author

Matthew P.

Currently unavailable: for new students

Degree: Electronic & Electrical Engineering (Bachelors) - Southampton University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Electronics

“About me: I'm an undergarduate Electronic Engineer studying at the University of Southampton. I really enjoy working on new projects, such as designing robots and other rasberry pi projects, and it stems from a love of Physics and Mat...”

MyTutor guarantee

You may also like...

Posts by Matthew

Convert the decimal number 165 to binary

Explain the difference between forced vibration and resonance in an oscillating object.

find general solution to: x(dy/dx) + 2y = 4x^2

Find Solution to x^2 + x - 2=0

Other GCSE Maths questions

How do I find the length of a side of a triangle using the cosine rule?

Solve the simultaneous equations: 4x+y=25 and x-3y=16

Solve the two simultaneous equations: 2y + x = 8 [A] and 1 + y = 2x [B]

Can you run through the quadratic equation(including the sketch and algebra).

View GCSE 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