Question

What does x equal in this equation x= .49x^2

Answer 1

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!