If (a2+1)/a=4,find the value of 2a3+2/a3
Answers
Answered by
98
Hi ,
It is given that ,
( a² + 1 )/a = 4
a²/a + 1/a = 4
a + 1/a = 4 ------( 1 )
Now ,
2a³ + 2/a³
= 2 ( a³ + 1/a³ )
= 2 [ ( a + 1/a )³ + 3( a + 1/a )
= 2 [ 4³ + 3 × 4 ]
= 2 [ 64 + 12 ]
= 2 × 76
= 152
I hope this helps you.
: )
It is given that ,
( a² + 1 )/a = 4
a²/a + 1/a = 4
a + 1/a = 4 ------( 1 )
Now ,
2a³ + 2/a³
= 2 ( a³ + 1/a³ )
= 2 [ ( a + 1/a )³ + 3( a + 1/a )
= 2 [ 4³ + 3 × 4 ]
= 2 [ 64 + 12 ]
= 2 × 76
= 152
I hope this helps you.
: )
Answered by
101
Answer:
It is : 104
Step-by-step explanation:
(a²+1)/a=4
=> a+1/a=4
=> (a+1/a)³=(4)²
=> a³+1/a³+3*4=64
=> a³+1/a²=52
=> 2(a³+1/a³)=2*52
=> 2a³+2/a³=104
Hence, answer is 104.
Please mark me as brainliest.
Hope this helps you :)
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