Answer:
The solutions to the quadratic equation y = x^2 - x - 6 are x = 3 and x = -2.
Explanation:
Alright, let's solve the quadratic equation y = x^2 - x - 6. We can try factoring it first.
To factor the equation, we need to find two numbers that multiply to -6 and add up to -1 (the coefficient of x). After some trial and error, we can see that -3 and 2 satisfy these conditions.
So, we can rewrite the equation as:
y = (x - 3)(x + 2)
Now, we can set each factor equal to zero and solve for x:
x - 3 = 0 --> x = 3
x + 2 = 0 --> x = -2
Therefore, the solutions to the quadratic equation y = x^2 - x - 6 are x = 3 and x = -2.