Find the solutions of the equation x^2 - 2x - 8 =0

First factorise the equation into 2 sets of brackets: You can do this by looking at the constant in the quadratic, 8. Try and find 2 numbers that multiply together to make 8 (such as 4 and 2), and that can be added or subtracted to make the coefficient of the middle term, 2. This results in: (x-4)(x+2)=0. To make the equation true, the left side must equal 0. Either bracket can equal 0. For the first let x=4 (as 4-4=0). For the second, x=-2. These are the answers, x=4 and x=-2 

Tom V. GCSE Maths tutor, A Level Maths tutor, GCSE Physics tutor, A L...

1 year ago

Answered by Tom, a GCSE Maths tutor with MyTutor

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


£20 /hr

Lucy S.

Degree: Chemistry (Masters) - Durham University

Subjects offered:Maths, Chemistry


“Reading Chemistry at Durham University with expertise in Chemistry and Mathematics (A*A*) at GCSE/A-level”

£36 /hr

Venetia L.

Degree: General Engineering (Masters) - Durham University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“I study General Engineering at the University of Durham. I have always enjoyed maths and sciences, so hope to help students who share my love for them too!”

£24 /hr

Dylan P.

Degree: Chemical Engineering (Masters) - Birmingham University

Subjects offered:Maths, Science+ 3 more

-Personal Statements-

“I am a third-year student at the University of Birmingham studying my passion, Chemical Engineering. I hope to be able to inspire a similar passion in the sciences and mathematics to help you master the concepts. I am friendly and pat...”

About the author

Tom V.

Currently unavailable: for new students

Degree: Mechanical Engineering (Masters) - Leeds University

Subjects offered:Maths, Physics


“About MeHello! I'm Tom, I'm in my first year studying mechanical engineering at the University of Leeds. I've always loved sicence, being particularly drawn to physics and maths from a young age. I loved the methodical, logical appro...”

You may also like...

Posts by Tom

A simple circuit contains a battery rated at 12V, connected in series to a filament lamp with a resistance of 3 ohms. What current flows through the filament lamp?

Differentiate f(x) = 2xlnx.

Find the solutions of the equation x^2 - 2x - 8 =0

Other GCSE Maths questions

Write 3/8 as a decimal

The price of a book is 4 pounds. In a sale the price is reduced by 30 percent. Work out the sale price

What is the cosine rule?

What is a coordinate?

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