Question

If a+1/a=2 find a^4+1/a^2 and a^8+1/a4



Plz and fast urgently

Answer 1

Step-by-step explanation:

• a + 1/a = 2

• a^2 + 1 = 2a [ LCM ]

• a^2 - 2a + 1 = 0

• a^2 - a - a + 1 = 0 [ splitting the middle term ]

• a( a - 1 ) - 1( a - 1 ) = 0

• ( a - 1 ) ( a - 1 ) = 0

• a = 1

• a^4 + 1/a^2

• ( 1 )^4 + 1/( 1 )^2

• 1 + 1

• 2

• a^8 + 1/a^4

• ( 1 )^8 + 1/( 1 )^4

• 1 + 1

• 2

Hope it helps you