Question

if the sum of numbers and it's reciprocal is 2.5 then the numbers are​

Answer 1

Answer:

Hey friend,

Here is the answer you are searching for,

Let the number be x,

=> it's reciprocal = 1/x

A.T.Q,

x + 1/x = 25/10

=>x²+1/x = 25/10

=>x²+1 = 25x/10

HOPE IT HELPS YOU.

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Answer 2

Step-by-step explanation:

Let the number be x

and it's reciprocal is 1/x

Now, as per question

x + 1/x = 2.5

(x^2 + 1)/x = 25/10

x^2 + 1 = (25/10)x

x^2 - (25/10)x + 1 = 0

Take LCM of 10

(10x^2 - 25 x + 10 )/10 = 0

10x^2 - 20x - 5x + 10 = 0

10x(x - 2) - 5(x - 2) = 0

(10x - 5) (x - 2) = 0

then,

10x - 5 = 0

x = 5/10

x = 1/2

Or

x - 2 = 0

x = 2

ANSWER FOR THIS QUESTION IS 1/2

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