Question

(a+1/a)²=3 find a^6-1/a^6​

Answer 1

Step-by-step explanation:

It is given that:

(a )2 3

We have to find a + We will first solve the given equation using: (a - b)²=a² +6² - 2ab

(a-1)² = 3

a²+ (1) ² - 2x ax==3

a²+2=3

a²+ 3+2

a²+2=5

Now take whole cube on both sides

(a²+)³ = (5)3

We will use (a + b)³ = a³ + b³ + 3ab(a+b)

⇒ (²)³ + (+)³ + 3x a² x (a²+) = 125

Substituting (a² + 7) = 5

(²)³ + (+)³ +3(5) = 125

q6+ +15= 125

a+125 - 15

⇒a=110