a+1a=4 হলে , a4+1a4 এর মান কত ?

Question

Shohan

16 views

2025-01-04 04:42

1 Answers

1 Answers 31 Views

a+b=4, a-b=1 হলে a ও b এর মান কত?

1 Answers 5 Views

1 Answers 16 Views

x+y =4 হলে x3+y3+12xy এর মান কত?

1 Answers 7 Views

1 Answers 7 Views

1 Answers 9 Views

x+y=4 হলে x3 +y3 +12xy এর মান কত?

1 Answers 6 Views

1 Answers 5 Views

1 Answers 5 Views

a-1a=m হলে দেখান যে, a4+1a4=m4+4m2+2

1 Answers 13 Views

Shohan · Accepted Answer · 2024-12-14T13:31:11+06:00

Shohan

Given that, a+ $\frac{1}{a} = 4$

$∴$ $a^{4} + \frac{1}{a^{4}} = {(a^{2} + \frac{1}{a^{2}})}^{2} - 2 . a^{2} . \frac{1}{a^{2}}$

$= {{(a + \frac{1}{a})}^{2} - 2 . a . \frac{1}{a}}^{2} - 2 = {(4)^{2} - 2} - 2 = {(16 - 2)}^{2} - 2 = 14^{2} - 2 = 196 - 2 = 194$

16 views Answered 2024-12-14 13:31