Math, asked by shashankgoswami, 1 year ago

If f(x) is a polynomial such that f(x² + 1) = x⁴ + 4x² and f(x² - 1) = ax⁴ + 4bx² + c, then find the value of a² + b² + c² is


shashankgoswami: also do you know the answer ?
shashankgoswami: if yes, then pls tell coz I will repost it again with 50 points and you can copy paste your answer there then I will award you 50 points but first you post your answer so I can beleive that you know the answer
SumaSahasra: I will try
SumaSahasra: now
SumaSahasra: give me five minutes
shashankgoswami: ok thank you I have an exam tomorrow pls help if you can ;(
SumaSahasra: sorry even I have Hindi exam which is too hard for me
SumaSahasra: it's pleasure for doing this problem
SumaSahasra: All the best
shashankgoswami: oh sorry to disturb you. Prepare well and thanks for the solution :)

Answers

Answered by SumaSahasra
4
This is the answer you need
Attachments:

shashankgoswami: just one doubt how did you get x2 -1 = t
SumaSahasra: we can assume any value of t
SumaSahasra: so I took t=x2-1
shashankgoswami: okay now i understood everything except only f(t) (t-1)(t+5)
shashankgoswami: also thanks again for your help
shashankgoswami: plssss tell
Argon288: if x2-1=t then x2=t-1 and x2-4=t+5
Argon288: thought process of suma sahasra was great I must say that
shashankgoswami: thank you :)
RohanGudimetla: wow what an answer dude, Hats off
Similar questions