Math, asked by shuryakant, 1 year ago

if a+1/a =2 than find the value of a^4+1/a^4 .....options a.8 b.4 c.2 & d.16

Answers

Answered by Nomitha
1
squaring on both sides again
a^4+1/a^4+2*a^2*1/a^2= 4
a^4+1/a^4 = 4-2=2
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shuryakant: a^4 + 1/a^4 read question
shuryakant: not a^2 + 1/a^2
Answered by Shivam882
0
a^2+1=2a
a^2-2a+1=0
(a-1)^2=0
a=1
then 1^4+1/1^4=1+1=2
option c is correct

shuryakant: i need clean explanation.
Shivam882: write in a copy or on a paper . it will explain you better
Shivam882: just add one step at the top (a^2+1)/a=2
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