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ICSE Class 9 Answered

a^2+1/a^2=47 simplify  
Asked by riyamahadik67.9spicertl | 23 May, 2020, 04:14: PM
answered-by-expert Expert Answer
a2 + 1/a2 = 47
a2 + 1/a2 + 2 = 47+2
(a + 1/a)2 = 49
a + 1/a = 7
a2 + 1 = 7a
a2 - 7a + 1 = 0

a equals fraction numerator 7 plus-or-minus square root of 7 squared minus 4 open parentheses 1 close parentheses open parentheses 1 close parentheses end root over denominator 2 end fraction equals fraction numerator 7 plus-or-minus square root of 49 minus 4 end root over denominator 2 end fraction equals fraction numerator 7 plus-or-minus square root of 45 over denominator 2 end fraction equals fraction numerator 7 plus-or-minus 3 square root of 5 over denominator 2 end fraction
Answered by Renu Varma | 24 May, 2020, 07:11: PM

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