When should I use the quadratic formula?

If you're asked to solve a quadratic equation, you could factorise it, or you could use the quadratic formula. The quickest way is to factorise, but sometimes the numbers are too tricky to factorise, (if an exam question asks for the answer in decimal places, this is a good indication you will need this method) so in these situations we use the quadratic formula:

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

given the equation ax​2​+bx+c=0

You can then substitute the numbers from your equation into the formula, and you will get two values of x (remeber to do both + and - the square root) just like you would if you were to factorise the equation. 

Answered by Sarah M. Maths tutor

2654 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is Pythagoras's theorem?


Draw the following inequality on a graph: x^2+4x+1<-2


Solve x2 + 2x − 4 = 0 leave in simplest form.


There are 30 kg of potatoes in a wheelbarrow. A farmer adds some carrots into the wheelbarrow. The total weight of the wheelbarrow now is 110 pounds. What weight of carrots did the farmer put into the wheelbarrow? 1 kg = 2.2 pounds


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences