Answer:
x=0, 2.04 (2dp)
Step-by-step explanation:
Assuming is it 0.49, our equation currently looks like this:
x = 0.49x^2
The first step is to move all x terms to one side which we can se by subtracting an x from both sides.
x - x=0.49x^2 - x
0 = 0.49x^2 - x
Now we can factorize by pulling out the x, which is a common factor:
0=x(0.49x-1)
We can now see that one of the solutions is x = 0, because anything in the brackets multiplied by 0 is 0.
To find the other solution we can divide both sides by x and solve:
0/x=x(0.49x - 1)/x
0=0.49x-1
1=0.49x
Now we just divide both sides by 0.49 to get our second answer!
1/0.49=0.49x/0.49
2.04=x
x = 0, 2.04 (2dp)
Hope this helped!
