Math, asked by mudireddylaxmi1978, 7 months ago

Please find this fast

Attachments:

Answers

Answered by Ani573
1

Answer:

Question: a² + 1/a² = 23

Find the value of a + 1/a ?

Solution:

As we know, (a + b)² = a² + b² + 2ab

So, a² + b² = (a + b)² - 2ab

Now, Suppose b = 1/a, then the formula changes to:

a² + 1/a² = (a + 1/a)² - 2a(1/a)

23 = (a + 1/a)² - 2a/a

23 = (a + 1/a)² - 2

(a + 1/a)² = 23 + 2 = 25

Thus, (a + 1/a) = ±5

Hence, (a + 1/a) = (+5), and (-5)

So we got 2 answers of (a + 1/a)

(if you still have any doubt, feel free to comment.)

:)

Thankyou!!!

Answered by isha133846
0

Answer:

thanks for free points

Similar questions