Question

contains
10. If a2 +
1
= 23, find the value of a +
a²
+
11. If x2 +
= 51, find the value of x
x4
Х​

Answer 1

Answer:

Anyways, the question is

x²+(1/x²) = 51

We have it as

(x +(1/x))²-2=51

or, (x+(1/x))²=53,

or x+(1/x)= √53

2. (x-(1/x))²+2=51.

or , x-(1/x)= √49= 7 (taking just the positive value)

Adding 1 and 2,we have

2x=√53+ 7

=> x=(√53+ 7)/2. You may take the negative values as well . You will have four different answers jn total.

Hope it helps. And feel free to correct my mistakes if i did any in the comments.

:))

Answer 2

✌hlo plz refer pic above