Solve x^2 = 4(x - 3)^2

Multiply out brackets
x2 = 4(x2 - 6x + 9)x2 = 4x2 - 24x + 36
Minus x2 from both sides 3x2 -24x + 36 = 0
Divide equation by 3x2 - 8x + 12 = 0
What 2 numbers add to make -8 and multiply to make 12? -6 and -2, so put these into the brackets(x - 2)(x - 6) = 0
One of the brackets must equal 0 sox - 2 = 0x = 2
x - 6 = 0x = 6
x = 2, 6

RH

Related Maths GCSE answers

All answers ▸

Where does the quadratic formula come from?


For the following right angled triangle find the value of x to 1 dp.


What's the difference between the mean, median and mode?


15 machines work at the same rate. Together, the 15 machines can complete an order in 8 hours. 3 of the machines break down after working for 6 hours. The other machines carry on working until the order is complete. In total, how many hours does EACH