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Sagot :
Usando un sistema de ecuaciones, se encuentra que los numeros son 12 y 14.
Sistema de ecuaciones:
- Las variables de el sistema son: x, y.
La suma de los números es 26, o sea:
[tex]x + y = 26[/tex]
La diferencia de sus cuadrados es 52, o sea:
[tex]x^2 - y^2 = 52[/tex]
De el primer ecuación:
[tex]y = 26 - x^2[/tex]
Por eso:
[tex]x^2 - y^2 = 52[/tex]
[tex]x^2 - (26 - x)^2 = 52[/tex]
[tex]x^2 - (x^2 - 52x + 676) = 52[/tex]
[tex]52x - 676 = 52[/tex]
[tex]x = \frac{728}{52}[/tex]
[tex]x = 14[/tex]
Así, el segundo número es dado por:
[tex]y = 26 - x = 26 - 14 = 12[/tex]
Los numeros son 12 y 14.
Se encuentra um problema que también envulve un sistema de ecuaciones en https://brainly.com/question/24646137
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