if (a2+1)/a=4 find the value of 2a3+2/a3 plz answer correctly
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Answered by
4
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
Answered by
3
Step-by-step explanation:
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.
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