Problem: If (7+43​)x2+(2+3​)x−2=0, the larger root minus the smaller root is:
Answer Choices:
A. −2+33​
B. 2−3​
C. 6+33​
D. 6−33​
E. 33​+2
Solution:
Let the roots be r and s with r≧s.
∴r−s=7+43​(2+3​)2+8(7+43​)​​. Since 7+43​=(2+3​)2,r−s=2+3​3​=6−33​