Question

if x- 1/x =5 find x^2+ 1/x^2​

Answer 1

Answer:

Value of

Step-by-step explanation:

Given:

To find:

We know that (a + b)² = (a - b)² + 4ab

put a = x and b = 1/x

Now, we know that a² - b² = (a + b)(a -b)

put a = x and y = 1/x

we get,

Therefore, Value of

pls mark me as brainliest

Answer 2

Answer:

27

Step-by-step explanation:

$x \: - \: \frac{1}{x} \: = \: 5$

Squaring on both sides, we get

${(x \: - \: \frac{1}{x} )}^{2} = \: {5}^{2}$

${x}^{2} + {( \frac{1}{x} )}^{2} - \: 2 \times x \times \frac{1}{x} = \: 25$

${x}^{2} \: + \: \frac{1}{ {x}^{2} } \: - \: 2 \: = \: 25$

${x}^{2} \: + \: \frac{1}{ {x}^{2} } \: = \: 25 + 2$

${x}^{2} + \: \frac{1}{ {x}^{2} } = \: 27$

Hope this helps

Please mark as brainliest