If m²+ 1/m²=22 , then find the value of ( m - 1/m)²
Answers
Answered by
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Step-by-step explanation:
m² + 1/m² = 22
- Subtract Both Side with 2×m×1/m
m² + 1/m² - 2×m×1/m = 22 - 2×m×1/m
- a² + b² - 2ab = (a - b)²
(m - 1/m)² = 22 - 2
(m - 1/m)² = 20
Answered by
0
Value of ( m - 1/m)² is 20.
Given:
m²+ 1/m²=22
To find:
find the value of ( m - 1/m)²
Solution:
We have to find the value of ( m - 1/m)².
So, first we will apply the formula of (a-b)² = a² + b² - 2ab and open the brackets
a = m
b = 1/m
( m - 1/m)² = m² + (1/m)² - 2 * m * 1/m
= m² + (1/m)² - 2 *1
= m² + (1/m)² - 2
We have been given the value of m² + (1/m)²
So, we will put it in equation
= m² + (1/m)² - 2
= 22 -2
= 20
Hence, the answer is 20.
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