Saved Bookmarks
| 1. |
if `sqrt(alpha_(1)-1)+2sqrt(alpha_(2)-4)+3sqrt(alpha_(3)-9)+4sqrt(alpha_(4)-16)=(alpha_(1)+alpha_(2)+alpha_(3)+alpha_(4))/(2)` where `alpha_(1),alpha_(2),alpha_(3),alpha_(4)` are all real. ThenA. `alpha_(1)+alpha_(2)=10`B. `alpha_(2)+alpha_(3)=26`C. `alpha_(4)-alpha_(3)=12`D. `alpha_(4)-alpha_(2)-alpha_(1)=22` |
|
Answer» Correct Answer - A::B::D if `2sqrt(alpha_(1)-1)+4sqrt(alpha_(2)-4)+6sqrt(alpha_(3)-9)+8sqrt(alpha_(4)-16)` `=(alpha_(1)-1)+1+(alpha_(2)-4)+4+(alpha_(3)-9)+9+(alpha_(4)-16)+16` `(sqrt(alpha_(1)-1)-1)^(2)+(sqrt(alpha_(2)-4)-2)^(2)+(sqrt(alpha_(3)-9)-3)^(2)+(sqrt(alpha_(4)-16)-4)^(2)=0` `=sqrt(alpha_(1)-1)=1,sqrt(alpha_(2)-4)=2,sqrt(alpha_(3)-9)=3`. `sqrt(alpha_(4)-16)=4` `impliesalpha_(1)=2,alpha_(2)=8,alpha_(3)=18,alpha_(4)=32` |
|