Question

x-1/x = 2 then find x race to power 4 + 1/x race to power 4 plz solve it and don’t send answers like I don’t know

Answer 1

Step-by-step explanation:

Given -

• x - 1/x = 2

To Find -

• Value of x^4 + 1/x^4

Now,

→ x - 1/x = 2

Squaring both sides :-

→ (x - 1/x)² = (2)²

→ x² + 1/x² - 2 × x × 1/x = 4

→ x² + 1/x² = 4 + 2

→ x² + 1/x² = 6

Now,

Again, Squaring both sides :-

→ (x² + 1/x²)² = (6)²

→ x^4 + 1/x^4 + 2× x² × 1/x² = 36

→ x^4 + 1/x^4 = 36 - 2

→ x^4 + 1/x^4 = 34

Hence,

The value of x^4 + 1/x^4 is 34.

Answer 2

Answer:

34

Step-by-step explanation:

→ x - 1/x = 2

Squaring both sides,

→ (x - 1/x)² = (2)²

Used identity: (a - b)² = a² + b² - 2ab

→ x² + 1/x² - 2x × 1/x = 4

→ x² + 1/x² = 4 + 2

→ x² + 1/x² = 6

Again, squaring both sides

→ (x² + 1/x²)² = (6)²

Used identity: (a + b)² = a² + b² + 2ab

→ x⁴ + 1/x⁴ + 2x² × 1/x² = 36

→ x⁴ + 1/x⁴ = 36 - 2

→ x⁴ + 1/x⁴ = 34

Hence, x⁴ + 1/x⁴ is 34.