Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

Detailed solution for this.
question image
Asked by g_archanasharma | 18 Dec, 2018, 07:31: PM
answered-by-expert Expert Answer
begin mathsize 12px style open parentheses x minus 3 close parentheses cubed plus 1 space equals space 0 L e t space y space equals space x minus 3 space semicolon space t h e n space w e space h a v e space space space y cubed plus 1 space equals space 0 y cubed space equals space minus 1 space equals space cos left parenthesis 2 k plus 1 right parenthesis straight pi space plus space straight i space sin open parentheses 2 straight k plus 1 close parentheses straight pi space space comma space straight k space equals space 0 comma 1 comma 2 straight y space equals space open parentheses cos left parenthesis 2 straight k plus 1 right parenthesis straight pi space plus space straight i space sin open parentheses 2 straight k plus 1 close parentheses straight pi close parentheses to the power of bevelled 1 third end exponent space equals space open parentheses cos space fraction numerator left parenthesis 2 straight k plus 1 right parenthesis straight pi over denominator 3 end fraction space plus space straight i space sin space fraction numerator left parenthesis 2 straight k plus 1 right parenthesis straight pi over denominator 3 end fraction close parentheses space comma space straight k space equals 0 comma space 1 comma space 2 when space straight k space equals space 0 comma space straight y space equals space open parentheses cos space straight pi over 3 space plus space straight i space sin space straight pi over 3 close parentheses space equals space 1 half plus straight i fraction numerator square root of 3 over denominator 2 end fraction when space straight k space equals 1 comma space straight y space equals space open parentheses cos space straight pi space plus space straight i space sin space straight pi close parentheses space equals space minus 1 when space straight k equals 2 comma space straight y space equals space open parentheses cos space fraction numerator 5 straight pi over denominator 3 end fraction space plus space straight i space sin space fraction numerator 5 straight pi over denominator 3 end fraction close parentheses space equals space 1 half minus straight i fraction numerator square root of 3 over denominator 2 end fraction end style
 
since y = (x-3), sum of complex roots  = begin mathsize 12px style 3 plus 1 half plus i fraction numerator square root of 3 over denominator 2 end fraction plus 3 plus 1 half minus i fraction numerator square root of 3 over denominator 2 end fraction space equals space 7 end style
Answered by Thiyagarajan K | 19 Dec, 2018, 01:49: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Maths
a+bx e power of y/x =x then d square y by dx square
Asked by jameelmohd765 | 27 Apr, 2024, 10:23: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
find
question image
Asked by komuravellysravanthi4 | 26 Apr, 2024, 02:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
solution please
question image
Asked by piyurawriya | 24 Apr, 2024, 12:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
answer
question image
Asked by piyurawriya | 23 Apr, 2024, 02:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
let M be the skew symmetric orthogonal real matrix.Then only possible eigen values are
Asked by kakumanumanoj282 | 20 Apr, 2024, 06:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
sin-1(sin5π/3)
Asked by nirmalraulji5 | 18 Apr, 2024, 09:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
1
question image
Asked by hadiabbas803 | 17 Apr, 2024, 07:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Cos66+sin84
Asked by veerababukoppisettiveerababu3 | 17 Apr, 2024, 05:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
how to solve this in financial calculator by log
question image
Asked by usakoyalshailesh | 15 Apr, 2024, 09:48: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
dout
question image
Asked by satnamk123 | 15 Apr, 2024, 01:50: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×