Question

If x4+16/x4=56 then find the value of x-2/x​

Answer 1

Answer:

Step-by-step explanation:x⁴ + 16/x⁴ = 56

Adding 2[ x² × 4/x²]

x⁴ + 16/x⁴ + 2[ x² × 4/x²] = 56 + 2[ x² × 4/x²]

(x² + 4/x²)² = 56 + 2(4)

(x² + 4/x²)² = 56 + 8 = 64

x² + 4/x² = 8

Subtracting 2[x × 2/x]

x² + (2/x)² - 2 [ x× 2/x] = 8 - 2[ x × 2/x]

(x - 2/x)² = 8 - 2(2)

(x - 2/x)² = 8-4=4

x - 2/x = √4 = 2

I hope this will help you