Solve 3x^2 + 13x + 14 = 0

Firstly, you need factorise.a = 3 b = 13 c = 14Find 2 numbers which add to make b(13) and multiply to make ac(42). These numbers are 6 and 7You can now split up the x coefficient to: 3x^2 + 6x + 7x + 14. You can now factorise each "half" to get to: 3x(x+2) + 7(x+2)Factor out "x+2" to get (3x+7)(x+2) = 0So the solutions are x = -7/3 or x = -2

CW
Answered by Charles W. Maths tutor

4784 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are only 7 blue pens, 4 green pens and 6 red pens in a box. One pen is taken at random from the box. Write down the probability that this pen is blue.


A stone is thrown upwards with a speed of v metres per second. The stone reaches a maximum height of h metres. h is directly proportional to v^2. When the stone is thrown at 10m/s, max height is 5m. Work out the maximum height reached when v = 24.


Expand and simplify fully (x+3)(x-1)


Find the roots of the quadratic equation 2x^2 - 15x - 8


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences