Request a call back

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

CBSE Class 10 Answered

sir
   if alpha ,beeta ,gamma are zeroes of polynomials f(x)=2x^3+6x^2-4x+9,find the value of 1/alphabeeta+1/beetagammma+1/gamma alpha
Asked by seeni2005 | 19 Jul, 2016, 06:30: PM
answered-by-expert Expert Answer
begin mathsize 16px style Given space that space straight alpha comma space straight beta comma space straight gamma space are space the space zeroes space of space the space polynomial space straight f left parenthesis straight x right parenthesis space equals 2 straight x cubed plus space 6 straight x squared space minus 4 straight x space plus thin space 9.
Comparing space the space equation space with space straight a straight x cubed plus space bx squared space plus space cx space plus thin space straight d comma space we space get
straight a equals 2 comma space straight b space equals space 6 comma space straight c space equals space minus 4 comma space straight d space equals space 9
straight alpha space plus space straight beta space plus space straight gamma equals fraction numerator negative straight b over denominator straight a end fraction equals fraction numerator negative 6 over denominator 2 end fraction equals negative 3
αβγ equals fraction numerator negative straight d over denominator straight a end fraction equals fraction numerator negative 9 over denominator 2 end fraction
Now comma space 1 over αβ plus 1 over βγ plus 1 over αγ equals fraction numerator straight alpha space plus space straight beta space plus space straight gamma over denominator αβγ end fraction equals fraction numerator negative 3 over denominator fraction numerator negative 9 over denominator 2 end fraction end fraction equals 3 cross times 2 over 9 equals 2 over 3
So comma space 1 over αβ plus 1 over βγ plus 1 over αγ equals 2 over 3. end style
Answered by Rebecca Fernandes | 19 Jul, 2016, 09:42: PM

Application Videos

CBSE 10 - Maths
Asked by anubhutiupadhaya | 14 Mar, 2024, 11:57: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by reetudetha | 08 Jan, 2024, 04:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mysticsurya201 | 04 Jan, 2024, 08:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by fatehbahadurtiwari3 | 30 Dec, 2023, 06:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dhaneswarnimal80 | 11 Nov, 2023, 06:50: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by skandachiranjeevin | 01 Nov, 2023, 08:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sazimkhan178 | 16 Sep, 2023, 11:27: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pranavtamboli65 | 09 Jul, 2023, 09:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by rekhapreetham | 15 Jun, 2023, 08:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dimpaldihingia2 | 24 May, 2023, 06:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×