La suma de dos números es igual a 10 y la suma de sus cuadrados es 58 halla dichos números
2 answers:
Answer:
YA BUENO COMENZEMOS:v
Step-by-step explanation:
X+Y=10
X^2+Y^2=58
BUENO TANTEAMOS:
LOS 2 UNICOS NUMEROS SUMADOS Y ELEVADOS AL CUADRADO Q DEN 58 SON:
3 y 7
X=numero 1
<span>10-x= numero 2 </span>
<span>x^2 + (10-x)^2 = 58 </span>
<span>x^2 + 100 -20X + x^2 = 58 </span>
<span>2x^2 - 20X + 42 = 0 ....simplificando </span>
<span>x^2 - 10X + 21 = 0...factorizamos </span>
<span>(x-3)(x-7)=0 ...resolvemos las dos partes </span>
<span>x-3=0 -----> x=3 </span>
<span>x-7=0------>x=7 </span>
<span>los dos numeros son 3 y 7 </span>
<span>3^2 + 7^2 = 9+49= 58....Espero te sirva </span>
<span>para el comentario de arriba 36 + 16=52..</span>
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