How do I know the best way to solve a quadratic equation?

There are loads of different ways to solve quadratics, and most of the time there isn't only one right way to solve them.

there's three main ways that you can use to solve quadratics: factorisation, completing the square, and the quadratic formula.

if you can see intuitively the numbers required for double bracket factorisation, then this is usually the quickest way to solve for whole number solutions.

sometimes, the numbers arent 'nice' so we need to use the quadratic formula:

x= (-b+_sqrt(b2-4ac))/2a

for an equation ax​2​+bx+c=0

this will give solutions to any quadratic.

Megan  O. A Level Maths tutor, GCSE Maths tutor

5 months ago

Answered by Megan , a GCSE Maths tutor with MyTutor

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


£18 /hr

Laura W.

Degree: Materials Science MEng (Masters) - Oxford, Trinity College University

Subjects offered: Maths, Science+ 5 more

Further Mathematics
Extended Project Qualification
-Oxbridge Preparation-

“Enthusiastic Oxford student ready to improve your understanding of the Physical Sciences.”

MyTutor guarantee

£18 /hr

Julia D.

Degree: Biomedical Sciences (Bachelors) - Oxford, Balliol College University

Subjects offered: Maths, Chemistry+ 3 more

.BMAT (BioMedical Admissions)
-Oxbridge Preparation-

“Hi I'm Julia and I'm studying Biomedical Sciences at Balliol College, University of Oxford. My school science underpins everything that I study now, and I love seeing how the things we learn can be applied to "real world" situations. ...”

£18 /hr

Haider M.

Degree: Medicine (Bachelors) - Exeter University

Subjects offered: Maths, Physics+ 7 more

Extended Project Qualification
.BMAT (BioMedical Admissions)
-Personal Statements-
-Medical School Preparation-

“A bit about me I am currently in my 2nd year of medical school at the University of Exeter. I really enjoy learning about science, especially the science of health disease, and would love nothing more than to pass down this knowledge ...”

About the author

Megan O.

Currently unavailable: for regular students

Degree: MMath (Masters) - Exeter University

Subjects offered: Maths


“I'm Meg, and I am currently a 3rd year maths student at Exeter university. I have a huge passion for my subject, which i believe to be one of the most important qualities in a tutor. I have experience in both one to one and group tuto...”

You may also like...

Other GCSE Maths questions

Solve for X and Y: 2y + x = 7; 3y - x = 8

What are simultaneous equations and how do I solve them?

Solve this equation; 5x - 4 = 3x + 7

What if my equation doesn't factorise?

View GCSE Maths tutors


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