Solve x^2 = 4(x – 3)^2

Expanding and simplifying the right hand side: x2=4(x-3)(x-3)=4(x2-6x+9)=4x2-24x+36 Deducting 'x2' from both sides: 0=3x2-24x+36 Dividing by 3 and factorising: 0=x2-8x+12=(x-6)(x-2) Therefore solving: x=2 or x=6

MG
Answered by Matthew G. Maths tutor

2720 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the equation (4x-3)/2 + (7x+1)/6 = 29/2.


1i) solve x^2-4x-21=0


Simplify. (x(^2)+4x)/(x(^2)+3x-4)


Factorise x² + 10x + 16


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