Problem: The difference between the larger root and the smaller root of x2−px+(p2−1)/4=0\mathrm{x}^{2}-\mathrm{px}+\left(\mathrm{p}^{2}-1\right) / 4=0x2−px+(p2−1)/4=0 is:
Answer Choices:
A. 000
B. 111
C. 222
D. ppp
E. p+1p+1p+1 Solution:
The roots are p+12\dfrac{p+1}{2}2p+1​ and p−12\dfrac{p-1}{2}2p−1​. The difference between the larger and the smaller root is 111.