If x=square root of 5 space end root+1bevelled fraction numerator blank over denominator square root of 5 end fraction-1 &y=square root of 5-1bevelled fraction numerator blank over denominator square root of 5 end fraction+1 , then find value ofx squared+xy+y squared

 

Asked by sooryankc | 25th Jul, 2019, 08:01: PM

Expert Answer:

begin mathsize 16px style straight x equals fraction numerator square root of 5 plus 1 over denominator square root of 5 minus 1 end fraction space and space straight y equals fraction numerator square root of 5 minus 1 over denominator square root of 5 plus 1 end fraction end style
begin mathsize 16px style straight x equals fraction numerator square root of 5 plus 1 over denominator square root of 5 minus 1 end fraction equals fraction numerator open parentheses square root of 5 plus 1 close parentheses squared over denominator 5 minus 1 end fraction and space straight y equals fraction numerator square root of 5 minus 1 over denominator square root of 5 plus 1 end fraction cross times fraction numerator open parentheses square root of 5 minus 1 close parentheses squared over denominator 5 minus 1 end fraction end style
begin mathsize 16px style straight x equals fraction numerator 5 plus 2 square root of 5 plus 1 over denominator 4 end fraction equals fraction numerator 6 plus 2 square root of 5 over denominator 4 end fraction and space straight y equals fraction numerator 5 minus 2 square root of 5 plus 1 over denominator 4 end fraction equals fraction numerator 6 minus 2 square root of 5 over denominator 4 end fraction end style
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Find x2, y2 and xy and then x2 + xy + y2 we get the value which is 8.

Answered by Sneha shidid | 26th Jul, 2019, 09:16: AM