Given, x is a real number
The first thing I did was to expand Quantity B and after combining like terms I get
Since $43$ is prime I can't (I don't think) factor that so I decide to subtract that from Quantity A, but first I expand quantity A and, after combining like terms, I get
so after subtracting quantity B from quantity A I get
Immediately I can see that the discriminate of that is less than zero so the roots will be imaginary which violates the real number constraint that was given so I select "can not be determined". However, the answer key acknowledges the negative discriminate but then says that because the roots are imaginary that quantity B is bigger. Could someone help me understand how they came up with that?