Question

If * a ^ 2 + 1 / (a ^ 2) = 10; a^ 4 +1/a^ 4 =​

Answer 1

Answer:

10^2 + 16=116

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Step-by-step explanation:

Answer 2

Answer:

(-a^2+1 + 10a^4)/ a^4

Step-by-step explanation:

a^2+1/(a^2)=10

⇒a^4+1=10a^2

a^4 - 10a^2 =-1

a^2(a^2- 10) = -1

a^4+ 1/ a^4= x

⇒a^8 + 1 = xa^4

a^8- xa^4 = -1

a^4(a^2 - x) = -1

-10+x = -1/a^2+ 1/a^4

x= (-a^2+1 + 10a^4)/ a^4

 

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