Math, asked by gopa0088, 2 days ago

lets see who can solve this
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Answers

Answered by tennetiraj86
53

Step-by-step explanation:

Solution :-

Given equation is x+(1/x) = 2 1/20

=> x+(1/x) = 41/20

=> (x²+1)/x = 41/20

On applying cross multiplication then

=> 20(x²+1) = 41×x

=> 20x²+20 = 41x

=> 20x²+20-41x = 0

=> 20x²-41x+20 = 0

=> 20x²-25x-16x+20 = 0

=> 5x(4x-5)-4(4x-5) = 0

=> (4x-5)(5x-4) = 0

=> 4x-5 = 0 (or) 5x-4 = 0

=> 4x = 5 (or) 5x = 4

=> x = 5/4 (or) x = 4/5

Therefore, x = 5/4 and 4/5.

Answer :-

The solutions of the given equation are 5/4 and 4/5

Used Method :-

Splitting the middle term

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Answered by punitmudgal
39

Please see attached answer..

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