Math, asked by tinkuyadav3678, 7 months ago

if x² +1/x²=23,find the value of x+1/x with explanation pls

Answers

Answered by PᴀʀᴛʜTɪᴡᴀʀʏ
1

\huge\boxed{\red{\bf \green{\dag} Solution }}

x² + 1/x² = 23.

x² + 1/x² + 2×x×1/x = 23+2

(x+1/x)² = 25.

(x + 1/x)² = 5².

x + 1/x= 5

Answered by gchandracommercial
0

Answer:

Step-by-step explanation:

Given, x^2 + 1/x^2 = 23, we need to find what is the value of x+1/x  

[(x+1/x)^2 = x^2 + 2 + 1/x^2 ]

But, x^2+1/x^2 = 23 and hence, (x + 1/x)^2 = 23 + 2 = 25

Thus, x + 1/x = sqrt (25) = +/- 5

ANSWER = (+/- 5)

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