Math, asked by sinha202aditya1, 1 month ago

Solve it please:--



x-3=1/x find x+1/x

Answers

Answered by kavipravin
0

Answer:

x-3=1/x find

x+1/x

ans:

4-3=1/4;4+1/4

Answered by kutevivek1
0

Step-by-step explanation:

x - 3 = 1 / x

x - ( 1 / x ) = 3

Now,

squaring both sides

[x - ( 1 / x )]² = 9. -----------(1)

we know that,

(a + b)² = (a - b)² + 4ab

here a = x and b = 1 / x

Therefore,

(x + 1/x)² = (x - 1/x)² + 4x/x

(x + 1/x)² = (x - 1/x)² + 4

(x + 1/x)² = 9+4 ----------from (1)

= 13

Taking square root,

x+1/x = √13 or - √13

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