CBSE Class 11-science Answered
1. Solve for real values of x :-
(x-1)4 + (x-5)4 = 82
Asked by Prince Sonu | 18 Apr, 2013, 01:22: PM
Expert Answer
(x - 1)^4 + (x - 5)^4 = 82
Hence, here also applying the same formula
==> (x^4 - 4x^3 + 6x^2 - 4x + 1) + (x^4 - 20x^3 + 150x^2 - 500x + 625) = 82
==> 2x^4 - 24x^3 + 156x^2 - 504x + 544 = 0
==> x^4 - 12x^3 + 78x^2 - 252x + 272 = 0.
By long/synthetic division,
x^4 - 12x^3 + 78x^2 - 252x + 272
= (x - 4) (x^3 - 8x^2 + 46x - 68)
= (x - 4)(x - 2)(x^2 - 6x + 34).
So, we have
(x - 4)(x - 2)(x^2 - 6x + 34) = 0
==> x = 4, 2, or x = 3 ± 5i
==> x^4 - 12x^3 + 78x^2 - 252x + 272 = 0.
By long/synthetic division,
x^4 - 12x^3 + 78x^2 - 252x + 272
= (x - 4) (x^3 - 8x^2 + 46x - 68)
= (x - 4)(x - 2)(x^2 - 6x + 34).
So, we have
(x - 4)(x - 2)(x^2 - 6x + 34) = 0
==> x = 4, 2, or x = 3 ± 5i
So, the real solutions are x=4 and x=2
Answered by | 18 Apr, 2013, 09:10: PM
Application Videos
-
Relation between roots and coefficient of a Quadratic E ...
Video contains the question based on quadratic equation where the relation ...
Concept Videos
-
Representation of complex numbers in Argand Plane ...
Represent complex numbers in Argand Plane. Understand the polar form of a c... -
Graphical Representation ...
This video explains the representation of complex numbers in Argand Plane a... -
Complex Numbers: Exam Prep Strategies
Represent complex numbers in Argand Plane. Understand the polar form of a c... -
Introduction to Complex Numbers
This video gives the introduction to Complex Numbers. -
Introduction to Complex Numbers
This video covers the introduction to Complex Numbers and some examples on ...
CBSE 11-science - Maths
Asked by tahikpreet0001 | 17 Apr, 2024, 06:41: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by nitinkrjsr07082008 | 15 Apr, 2024, 11:32: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by khairulmasud380 | 08 Feb, 2024, 12:22: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by moulya123 | 08 Jan, 2024, 06:18: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by saanvichawla2007 | 02 Oct, 2023, 12:10: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Bhaveshkr211 | 30 Jul, 2023, 05:21: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sdmbotch1123 | 18 Jan, 2023, 11:01: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by simrangurdasani05 | 17 Jul, 2022, 03:39: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by rajshekhara348 | 20 Jun, 2022, 11:23: PM
ANSWERED BY EXPERT
