Answer:
-1/2 and -1
Step-by-step explanation:
Our system of equations is:
y = 2x²
y = -3x - 1
We can set the y's equal to each other:
y = 2x² = -3x - 1
Now, we have:
2x² = -3x - 1
Move all the terms to one side by adding both sides by 3x and 1:
2x² + 3x + 1 = 0
We must factor this quadratic. Note that the factoring is:
(2x + 1)(x + 1) = 0
Our solutions are now:
2x + 1 = 0 OR x + 1 = 0
x = -1/2 x = -1
.
Thus, our solutions are -1/2 and -1.
