Question

If m²+ 1/m²=22 , then find the value of ( m - 1/m)²​

Answer 1

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

Answer 2

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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