If the below three equations are true,
• x + y + z = 1
• x² + y² + z² = 2
• x³ + y³ + z³ = 3
Then find the value of x⁵ + y⁵ + z⁵
Note - If you are thinking '5' so no, it's not a correct solution.
Show your method along with explanation.
[Check the attachment for some hint]
Attachments:
Answers
Answered by
11
Step-by-step explanation:
x5+y5+z5 is 15 5+5+5=15
Answered by
18
Answer:
Step-by-step explanation:
We know
Now a cubic equation whose root are x , y and z is given by
All three x , y and z are roots of this equation , satisfies them in equation and add all three , let's call this process taking summation of roots , we get
Multiply Cubic equation by t , we get
Again take summation
Again multiply equation by t
Take summation
Similar questions
Math,
23 days ago
Math,
23 days ago
Hindi,
23 days ago
Biology,
1 month ago
Environmental Sciences,
1 month ago
Psychology,
9 months ago
Math,
9 months ago