Question

What are the solutions of the system? Solve by graphing. y=x2-2x-1 y = -2

Answer 1

To solve this problem you must:

1. Rewrite the equations:

y=x²-2x-1 (i)

y=-2 (ii)

2. Then:

(i)=(ii)

-2=x²-2x-1

3. Now, you must order the terms and and factorize, as below:

(x-1)(x-1)=0
(x-1)²=0

4. The solution is:

x=1

You can see that the graphs attached touch each other in x=1. Therefore, the solution is x=1