Math, asked by piyush16072004, 11 months ago

10. Sum of a number and its reciprocal is 5/2. Find the number. The sum of two number is 10.

Answers

Answered by vinit2741
4

Answer:

the numbers are 2,

 \frac{1}{2}

Step-by-step explanation:

let the number be x

so

x +  \frac{1}{x}  =  \frac{5}{2}  \\  =  {x}^{2}  + 1 = x \times  \frac{5}{2}  \\  = 2 {x}^{2}  + 2 = 5x \\  = 2 {x}^{2}  - 5x + 2 = 0

(2x - 1)(x - 2) = 0 \\ so \: therefore \: x = 2 \: and \: x =  \frac{1}{2}


Piyush12345678: hiii
Answered by Piyush12345678
2

Answer:

Pls mark as brainliest

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