Question

1
32. If a
1
3
3; find a² + 3a +
1
a
a?
а​

Answer 1

Answer:

$\bold\pink{solution : - }$

Given :- a-1/a = 3 _______(1)

We have to find a²+3a+1/a²-3/a = ?

From given :- a-1/a = 3

squaring both side .

(a-1/a)² = 3²

a²+1/a²-2*a*1/a = 9

a²+1/a² = 7 ________(2)

we have ,a² + 3a + 1/a² -3/a

Rearrange it .

a²+1/a² + 3a - 3/a

(a²+1/a²)+3(a-1/a)

From (1) and (2)

(7)+3(3)= 7+9 = 16Answer

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