Answer:
Step 2
Step-by-step explanation:
The quadratic formula is given by ![x=-b+-\frac{\sqrt{b^{2}-4ac } }{2a}](https://tex.z-dn.net/?f=x%3D-b%2B-%5Cfrac%7B%5Csqrt%7Bb%5E%7B2%7D-4ac%20%7D%20%7D%7B2a%7D)
Our equation is y = 2x²-x-6
So here our a = 2, b = -1, and c = -6
We can now plug these numbers into our formula
![x= -(-1) +-\frac{\sqrt{(-1)^{2}-4(2)(-6) } }{2(2)} = 1 +-\frac{\sqrt{1+24} }{4} = 1+-\frac{\sqrt{25} }{4}](https://tex.z-dn.net/?f=x%3D%20-%28-1%29%20%2B-%5Cfrac%7B%5Csqrt%7B%28-1%29%5E%7B2%7D-4%282%29%28-6%29%20%7D%20%7D%7B2%282%29%7D%20%3D%201%20%2B-%5Cfrac%7B%5Csqrt%7B1%2B24%7D%20%7D%7B4%7D%20%3D%201%2B-%5Cfrac%7B%5Csqrt%7B25%7D%20%7D%7B4%7D)
Step 2 is incorrect because it states that "x equals the negative of negative 1 plus or minus the square root of negative one plus forty-eight all over two times 2."
The correct statement would be "x equals the negative of negative 1 plus or minus the square root of positive one plus forty-eight all over two times 2.", because the square of a negative is positive, resulting in a positive one.
Since this step is incorrect, the steps after are also incorrect, but Harry went wrong at Step 2