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

3050 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Show that 12 cos 30° -2 tan 60° can be written in the form square root k where k is an integer.


One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5 There are 36 male teachers at the school. Work out the total number of teachers at the school.


Solve the simultaneous equations: 2x+2y=12 x-y=8 You must show your working


Solve the simultaneous equations. 2x+5y=-4 and 7x+y=19


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