Hallar “a”, si: a4a (7) = 120a (5) Los (7) y (5) son bases.... Question from @Erickalej2015

Erickalej2015 @Erickalej2015

September 2018 1 22 Report

Hallar “a”, si: a4a (7) = 120a (5)
Los (7) y (5) son bases

¡Notificar abuso! Hallar “a”, si:
____ ____
$a4a _{(7)} = 12a_{(5)}$

Lo descomponemos polinómicamente.

$a* 7^{2} + 4*7 + a = 1* 5^{2}+2*5+a$

$49a + 28 + a = 25 + 10 + a$

$50a + 28 = 45 + a$

$50a - a = 45 - 28$

$49a = 17$

$a = \frac{17}{45}$

Respuesta.

$a = \frac{17}{45}$

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