Question

If (x-1/x)=5 find the value of (x^2+1/x^2)​

Answer 1

Step-by-step explanation:

answer is 25. hope this helps

Answer 2

Answer:

x² + 1/x² = 27

Step-by-step explanation:

given that

x - 1/x = 5    ....equation (1)

we need to find

x² + 1/x²

so,

________________________

→ x² + 1/x²

→ x² + (1/x)²

using identity

a² + b² = ( a-b )² + 2 ab

→ ( x - 1/x )² + 2 (x) (1/x)

→ ( x - 1/x )² + 2

using equation (1)

→ ( 5 )² + 2

→ 25 + 2

→ 27

________________________

therefore,

x² + 1/x² = 27 .