Question

If a⁴=119-1/a⁴ then (√a)+(1/√a)=?

Answer 1

Answer:

Step-by-step explanation:

Given that a4+1(a4)a4+1(a4) = 119 , adding 2 on both sides, we get : [a2+1a2]2[a2+1a2]2 =121→a2+1a2=11=121→a2+1a2=11

Again, by subtracting 2 on both sides, we have (a−1a)2=9→(a−1a)=3(a−1a)2=9→(a−1a)=3

Now,  a3−1a3=(a−1a)(a2+1a2+1)=12∗3=36a3−1a3=(a−1a)(a2+1a2+1)=12∗3=36