Question

If m+1\m = 6. Find the value of m^4 + 1/m^4

Answer 1

Hi ☺ !!

Here is your answer ✓ ✓ ✓ ✓

M + 1/M = 6

Squaring both sides , we get

( m + 1/m)² = 6²

m² + 1/m² + 2 × ( m × 1/m ) = 36

m² + 1/m² + 2 = 36

m² + 1/m² = 36 - 2

m² + 1/m² = 34.

Now , squaring both sides again , we get

( m² + 1/m² )² = 34²

m⁴ + 1/m⁴ + 2 ( m² × 1/m² ) = 1156

m⁴ + 1/m⁴ + 2 = 1156

m⁴ + 1/m⁴ = 1156 - 2

m⁴ + 1/m⁴ = 1154.

☺ Hope it will help you ☺

$<marquee>$ BySaniyaAnwar

$<marquee>$#BeBrainly

Answer 2

Hi mate !!

Here is your answer :

Solution :

M + 1 / m = 6 [ Given ]

Squaring both sides , we will get

( m + 1 / m )² = 6²

Using identity ( a + b )² = a² + b² + 2ab.

m² + 1/m² + 2 m × 1/m = 36

m² + 1/m² + 2 = 36

m² + 1 /m² = 34 ...

Squaring both sides again , we will get.

( m² + 1 / m² )² = 34²

m⁴ + 1/m⁴ + 2m² × 1/m² = 1156.

m⁴ + 1/m⁴ + 2 = 1156

m⁴ + 1/m⁴ = 1154 .....

♥ Hope it helps you ♥

By Rishi403.

BeBrainly