Question

If x^2 +1/x=27 find the value of each of x+1/x

Answer 1

Step-by-step explanation:

Given -

• x² + 1/x² = 27

To Find -

• Value of x + 1/x

Now,

→ x² + 1/x² = 27

Adding 2 × x × 1/x both sides :-

→ x² + 1/x² + 2 × x × 1/x = 27 + 2 × x × 1/x

→ (x + 1/x)² = 29

→ x + 1/x = √29

Hence,

The value of x + 1/x is √29.

Answer 2

GIVEN:-

• $x^2+\frac{1}{x}=27$

TO FIND:-

• $x+\frac{1}{x}$

Now,

$\huge{(x+\frac{1}{x})^2=x^2+\frac{1}{x^2}+2}$

$\huge{(x+\frac{1}{x})^2=27+2}$

$\huge{(x+\frac{1}{x})^2=29}$

$\huge{x+\frac{1}{x}=\sqrt{29}}$

●●●●●EXTRA INFORMATION●●●●●

$\textbf{(a+b)^2=a^2+2ab+b^2)}$

$\textbf{(a-b)^2=a^2-2ab+b^2)}$