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CBSE Class 10 Answered

i f lambda & beta space a r e space t h e space z e r o s space o f space p o l y n o m i a l space p left parenthesis x right parenthesis equals x hat 2 plus x plus 1 space t h e n space f i n d space t h e space v a l u e s space o f space 1 divided by lambda plus 1 divided by beta space a n f space lambda hat 2 plus beta hat 2
Asked by Prakash | 23 May, 2018, 11:06: AM
answered-by-expert Expert Answer
If λ and β are the roots of the equation x2 + x + 1
Comparing with ax2 + bx + c
a = 1, b = 1 and c = 1
λ + β = -1/1 = -1
λ β = 1/1 =1
 
begin mathsize 16px style 1 over straight lambda plus 1 over straight beta space equals space fraction numerator straight beta space plus space straight lambda over denominator λβ end fraction equals fraction numerator negative 1 over denominator 1 end fraction equals negative 1 straight lambda squared space plus space straight beta to the power of 2 space end exponent equals space open parentheses straight beta space plus space straight lambda close parentheses to the power of 2 space end exponent minus space 2 λβ straight lambda squared space plus space straight beta to the power of 2 space end exponent equals left parenthesis negative 1 right parenthesis to the power of 2 space end exponent minus space 2 cross times 1 straight lambda squared space plus space straight beta to the power of 2 space end exponent equals 1 space minus space 2 space equals space minus 1 end style
Answered by Sneha shidid | 23 May, 2018, 12:31: PM

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