Math, asked by AK00786, 11 months ago

a²+1/a²=7 find the value of (a+1/a)²

Answers

Answered by TheLostMonk
1
©a^2 + 1/a^2 = 7

( a )^2+( 1/ a )^2 + 2 (a) (1 /a )-2(a )(1/a)=7

(a + 1/a )^2 - 2 (a ) ( 1/ a) = 7

( a + 1 / a )^2 - 2 = 7

(a + 1/ a )^2 = 7 + 2

(a + 1 / a )^2 = 9
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Your Answer: 9
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Answered by abhishekrajstkhsg
0

Answer:

9

Step-by-step explanation:

We can write a² +1/a² as

a² +(1/a)² + 2.a.1/a - 2.a.1/a= 7

[a² +(1/a)² + 2.a.1/a] - 2.a.1/a= 7

(a +1/a)² -2.a.1/a =7

(a +1/a)² -2 =7

(a +1/a)² =7+2=9

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