How do I find roots of a quadratic equation when I can't factorise?

When factorising isn't working, we can try using the quadratic formula. First, we need our quadratic equation and find a,b and c - the coefficients of x and the constant. Now, we can write out the quadratic formula and plug in the corresponding numbers. Remember there are two different answers given by this method. With a calculator this is nice and easy - just type it in and write the answer to 2/3 decimal places (if needed). Without a calculator we can just simplify as far as possible so we might still have a surd in the answer but that's OK.

FD
Answered by Freya D. Maths tutor

3895 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I solve a quadratic equation?


The co-ordinates of P and Q respectively are (-9,7) and (11,12). M is on the line PQ such that PM:MQ = 2:3. L passes perpendicularly through M. What is the equation of L?


Rearrange to make x the subject of the equation: 4(3x+y) = 12-2y


Solve x^2+2x-4, leaving your answer in the simplist surd form. (4marks)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning