Solve the quadratic 3x^2+11x+6=0

In order to solve the quadratic, we need to factorise it. Consider the coefficient on the x^2, its only factors are 1 and 3 so this tells us that in our factorising we will have something that looks like (x...)(3x...). All the signs are positive so we know that it will also be a case of positive numbers (x+...)(3x+...).

Consider the factors of 6, by looking i can see that a combination on 3 and 2 is going to add up to get to 11 as 3x3=9 and x2=2x which totals 11x. Hence we have (x+3)(3x+2)=0. From that, I can show that my solutions will be x=-3, -2/3 after equating each bracket to 0.  

Answered by Natalie F. Maths tutor

8279 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Show that n²-n-90=0


How do I differentiate?


Express x^2+2x+4 in the form (x+a)^2 + b, hence find the stationary point of the curve.


A bag contains beads, 60% of which are green. A student claims that the probability of getting two green beads if the beads aren't replaced is 1/3 as 6/10 * 5/9 is 1/3. Is the student right?


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences