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.  

NF
Answered by Natalie F. Maths tutor

8863 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Dominik hires a satellite phone. His total hire charge is £860. For how many weeks did he hire the phone? (Total hire charge = No. of week X 90 +50)


An exam has two papers. Alan scores: 33 out of 60 on paper 1 & 75 out of 100 on paper 2. Work out his percentage score for the exam?


60 students were taking a Maths, Physics or Chemistry exam. 38 of the students were male. 11 of the 32 students who were taking the Maths exam were female. 8 males were taking the Physics exam. 12 students were taking the Chemistry exam. One of the fe


How do I use Pythagoras?


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:

© 2025 by IXL Learning