Saved Bookmarks
| 1. |
res Upof four numbers in A.P. is 4 and their product is 385. Find the numbers |
|
Answer» 11/3, -5/3, 9, -7Step-by-step explanation:Let the 4 numbers in A.P bea-3d, a-d, a+d, a+3dthe sum of thse numbers is 4a+d+a-d+a+3d+a-3d =44a=4a=1And the product is 385(a-3d)(a+3d)(a+d)(a-d)=385put a=1(1-3d)(1+3d)(1+d)(1-d)=385(1-9d²)(1-d²)=385(1-d²-9d²+9d⁴)=3859d⁴-10d²-384=0d²=t9t²-10t-384=09t²-64t+54t-384=0t(9t-64)+6(9t-64)=0(t+6)(9t-64)=0t=-6, 64/9d²=td=8/3hence the numbers area=1, d=8/3(a+d), (a-d), (a+3d), (a-3d)11/3 , -5/3 , 9, -7Hope it will help you Read more on Brainly.in - https://brainly.in/question/11950710#readmore |
|