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

3196 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The area of a rectangle is 8cm^2. It has a length of (3x+1)cm and a width of (2x+5)cm. Work out the value of x.


By plotting appropriate graphs, find x to the nearest integer if x^2+3=2-4x.


Factorise fully 6xyz + 24x^2yz + 18xy^3z^2


x/x-1 - x/x+1 simplify


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:

© 2026 by IXL Learning