Hello,
Here is the solution :-
We are given:
x ^ 2 + 1 / (x ^ 2) = 14
Step 1: Use Identity
We use the identity:
(x + 1/x) ^ 2 = x ^ 2 + 1 / (x ^ 2) + 2
Substituting the given value:
(x + 1/x) ^ 2 = 14 + 2 = 16
Step 2: Solve for x + 1/x
Taking the square root:
x + 1/x = ±4
Answer:
Hope it helps !
Question : Factorise: $x^{2}+5x-14$.
Option 1: $(x-7)(x+2)$
Option 2: $(x-1)(x+14)$
Option 3: $(x+7)(x-2)$
Option 4: $(x-14)(x+1)$
Question : If $\frac{1}{x}+x=4$, then find $\frac{1}{x^2}+x^2$.
Option 1: 14
Option 2: 5
Option 3: 7
Option 4: 15
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