Math, asked by swayam1410, 1 year ago

2a - 1/ 2a = 3, evaluate 16a^4 + 1/16a^4

Answers

Answered by ShuchiRecites
43
Hello Mate!

2a - 1/2a = 3

Squaring both the sides we get,

( 2a - 1/2a )² = 3²

4a² + 1/4a² - 2 = 9

4a² + 1/4a² = 11

Squaring both the sides again

( 4a² + 1/4a² ) = 11²

16a⁴ + 1/16a⁴ + 2 = 121

16a⁴ + 1/16a⁴ = 119

=> Hence answer is 119.

Have great future ahead!

swayam1410: Thanks a lot. ☺☺ This is the branliest anwer.
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ShuchiRecites: Thanks for attempting brainliest mate!
Answered by ans81
14
HEY MATE HERE IS YOUR ANSWER

 <b>

2a - 1/2a=3

Squaring both sides

We get,

(2a-1/2a) ^2 = 3^2

➡️ 4a^2 +1/4a^2 - 2 = 9

➡️ 4a^2 + 1/4 a^2 = 11

Again Squaring both sides

(4a^2 + 1/4a^ = 11^2

➡️ 16a^4 + 1/16^4 = 121

➡️ 16a^2 + 1/16a^2 + 2 = 121

➡️ 16a^4 + 1/16a^4 = 121 - 2 = 119

Answer :- 119






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