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

2996 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand and simplify 2y+3y(5y+3)


Prove algebraically that the straight line with equation x - 2y = 10 is a tangent to the circle with equation x^2 + y^2= 20


You have a bag of 60 coloured marbles. 1/10 are red, 3/5 are blue, and the rest are green. How many green ones are there?


Solve 3x²+6x-7=0 by using completing the square method. Leave your answer in surd form.


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