Question

if X square + 1 by x square is equal to 6 find the value of x power 4 + x power4​

Answer 1

Answer:

34

Step-by-step explanation:

x² + 1/x² = 6

Squaring on both sides, we get

(x² + 1/x²)² = 6²

(a + b)² = a² + b² + 2ab

(x²)² + (1/x²)² + 2*x²*1/x² = 36

x² and 1/x² gets cancelled in the third term.

x⁴ +1/x⁴ + 2 = 36

x⁴ + 1/x⁴ = 36 - 2

x⁴ + 1/x⁴ = 34