Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
for c
8x
4
−2x
3
−27x
2
+6x+9=0
Let the roots be a,−a,b,c
S
1
=a−a+b+c=−
8
−2
=
4
1
b+c=
4
1
.....(i)
S
3
=−a
2
b−abc+abc−a
2
c=−
8
6
⇒a
2
(b+c)=
4
3
.....(ii)
dividing (i) by (ii)
⇒b+c=
4
1
......(iii)
S
4
=−a
2
bc=
8
9
⇒bc=−
8
3
....(iv)
substituting b from (iii) in (i)
b(
4
1
−b)=−
8
3
4
b−4b
2
=−
8
3
2b−8b
2
=3
8b
2
−2b−3=0
8b
2
+4b−6b−3=0
4b(2b+1)−3(2b+1)=0
(4b−3)(2b+1)=0
⇒b=
4
3
,−
2
1
substituing b in (iv)
⇒c=−
2
1
,
4
3
S
2
=a(−a)+(−a)(b)+bc+ca=
8
−27
⇒−a
2
−ab+bc+ac=
8
−27
The value of s
4
is not satisfied for b=−
2
1
So the roots of the equation are
3
,−
3
,
4
3
,−
2
1
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
