Ask a Doubt
Request a call back

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

CBSE Class 10 Answered

If a and b are the zeroes of the polynomial f(x)=2x^2+11x+5 then find
a^4+b^4   and    1/a+1/b-2ab
Asked by vans75a | 14 Aug, 2015, 09:53: PM
answered-by-expert Expert Answer
I f space a space a n d space b space a r e space t h e space z e r o e s space o f space t h e space p o l y n o m i a l space f left parenthesis x right parenthesis equals 2 x squared plus 11 x plus 5 comma space t h e n a plus b equals negative 11 over 2 a b equals 5 over 2 left parenthesis i right parenthesis space a to the power of 4 plus b to the power of 4 equals open parentheses a squared plus b squared close parentheses squared minus 2 a squared b squared equals open parentheses open parentheses a plus b close parentheses squared minus 2 a b close parentheses squared minus 2 open parentheses a b close parentheses squared equals open parentheses open parentheses negative 11 over 2 close parentheses squared minus 2 cross times 5 over 2 close parentheses squared minus 2 open parentheses 5 over 2 close parentheses squared equals open parentheses 121 over 4 minus 5 close parentheses squared minus 25 over 2 equals open parentheses 101 over 4 close parentheses squared minus 25 over 2 equals 10201 over 16 minus 25 over 2 equals fraction numerator 10201 minus 200 over denominator 16 end fraction equals 10001 over 16 left parenthesis i i right parenthesis space 1 over a plus 1 over b minus 2 a b equals fraction numerator a plus b over denominator a b end fraction minus 2 a b equals fraction numerator negative 11 divided by 2 over denominator 5 divided by 2 end fraction minus 2 open parentheses 5 over 2 close parentheses equals negative 11 over 5 minus 5 equals negative fraction numerator 11 plus 25 over denominator 5 end fraction equals negative 36 over 5
Answered by satyajit samal | 15 Aug, 2015, 07:02: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
The ratio of the sum and product of the roots of the quadratic equation 5x^2 - 6x + 21 + 0 is
Asked by anubhutiupadhaya | 14 Mar, 2024, 11:57: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the zeroes of the quadratic polynomial 6x²-3x-7x and verify the relationship between zeroes and coefficients.
Asked by reetudetha | 08 Jan, 2024, 04:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if -4 is a zero of the polynomial x^2-2x-(7m+3) then find the value of m
Asked by mysticsurya201 | 04 Jan, 2024, 08:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the no of polynomial having zeros-2 and 5 is
Asked by fatehbahadurtiwari3 | 30 Dec, 2023, 06:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the zero of the polynomial x²- 55x + 750
Asked by dhaneswarnimal80 | 11 Nov, 2023, 06:50: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find zeros of 4x square -7
Asked by skandachiranjeevin | 01 Nov, 2023, 08:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the value 'p'for which polynomials x²-(p²-9)x+8has zeroes equal in magnitude but opposite in sign is
question image
Asked by sazimkhan178 | 16 Sep, 2023, 11:27: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
x²-4x-6 what is the answer
Asked by pranavtamboli65 | 09 Jul, 2023, 09:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
p(X)=x2-(k+6)(X+2)(2k-1) then find the value of k is alpha+beta =1/2 alpha beta
Asked by rekhapreetham | 15 Jun, 2023, 08:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and the coffiecient 4u+8u
Asked by dimpaldihingia2 | 24 May, 2023, 06:10: PM
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
×