Problem: The sum of the squares of the roots of the equation x2+2hx=3 is 10. The absolute value of h is equal to
Answer Choices:
A. −1
B. 21
C. 23
D. 2
E. None of these
Solution:
If the roots are r and s, then r+s=−2h and rs=−3. Hence (r+s)2=r2+s2+ 2rs=10−6=4 h2∴∣ h∣=1.