Find the values of x: x^2 + 14x + 22 = 4x -2

x2 + 14x + 22 = 4x -2
1) First you should arrange the equation into the format ax2 + bc + c = 0. This gives x2 + 10x + 24 =02) Factorise into (x+n)(x+m) = 0. To work out what n and m are, you must figure out what numbers work for n+m = b (in this case b =10) and n * m = c (in this case c = 24)3) the numbers that work are 6 and 4 so put these into the equation: (x + 4)(x+6) =04) one bracket must equal zero so x+4=0 or x+6=0 therefore x = -4 or x=-6

GM
Answered by Gemma M. Maths tutor

2719 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Rearrange the equation y=3x+2 to make x the subject.


Find the lowest common multiple and highest common factor of 30 and 60.


a) Solve 6x + 13 =2x +5 (2 marks) b) Expand and simplify (q + 7)(q - 3) (2 Marks)


If I have £730 in my bank account which has 2.5% compound interest per year, how much more money will be in there after two years?


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