Question

Q. if a + 1 upon a = 2 find "
i.) a raise to 4 + 1 upon a square
ii.) a raise to 8 + 1 upon a raise to 4 ​

Answer 1

Step-by-step explanation:

(a+1/a)²=2²

a²+1/a²+2=4

a²+1/a²=2

(a²+1/a²)²=2²

a⁴+1/a⁴+2=4

a⁴+1/a⁴=4-2=2//

(a⁴+1/a⁴)²=2²

a⁸+1/a⁸+2=4

a⁸+1/a⁸=2//

second way

a+1/a=2

(a²+1)/a=2 (taking lcm)

a²+1=2a

a²-2a+1=0

by foctorisation

(a-1)×(a-1)=

a=1,1=1

a⁸+1/a⁸=1/1⁸+1=1+1=2//

a⁴+1/a⁴=1⁴+1/1⁴=1+1=2//