puskas99 puskas99

27-01-2022
Mathematics

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The sum of a number and 45 times its reciprocal is 14. Find the number or numbers.

Respuesta :

dananu36 dananu36

27-01-2022

Answer: 9 & 5

Step-by-step explanation:

Let the number be x.

A/q,

[tex]x+\frac{45}{x}=14=> x^{2}-14x+45=0[/tex]

Solving,

[tex]x^{2} -9x-5x+45=0=>(x-9)(x-5)=0[/tex]

Thus, x=9 or 5.

The numbers are 9 or 5.

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