Question

if (a-1/a)=5, find the value of (a⁴+1/a⁴)​

Answer 1

Step-by-step explanation:

Here a + 1/a = 5 is given,

Here a + 1/a = 5 is given,Let we do square on both sides

Here a + 1/a = 5 is given,Let we do square on both sides(a + 1/a)² = 5²

Here a + 1/a = 5 is given,Let we do square on both sides(a + 1/a)² = 5²a² + 1/a² + 2(a²)(1/a²) = 25

a² + 1/a² = 25 - 2

a² + 1/a² = 25 - 2a² + 1/a² = 23

a² + 1/a² = 25 - 2a² + 1/a² = 23Again, doing square on both sides

a² + 1/a² = 25 - 2a² + 1/a² = 23Again, doing square on both sides(a² + 1/a²)² = 23²

a² + 1/a² = 25 - 2a² + 1/a² = 23Again, doing square on both sides(a² + 1/a²)² = 23²a⁴ + 1/a⁴ + 2(a⁴)(1/a⁴) = 529

a² + 1/a² = 25 - 2a² + 1/a² = 23Again, doing square on both sides(a² + 1/a²)² = 23²a⁴ + 1/a⁴ + 2(a⁴)(1/a⁴) = 529a⁴ + 1/a⁴ = 529 - 2

a² + 1/a² = 25 - 2a² + 1/a² = 23Again, doing square on both sides(a² + 1/a²)² = 23²a⁴ + 1/a⁴ + 2(a⁴)(1/a⁴) = 529a⁴ + 1/a⁴ = 529 - 2Hence,

a² + 1/a² = 25 - 2a² + 1/a² = 23Again, doing square on both sides(a² + 1/a²)² = 23²a⁴ + 1/a⁴ + 2(a⁴)(1/a⁴) = 529a⁴ + 1/a⁴ = 529 - 2Hence,a⁴ + 1/a⁴ = 527

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