Respuesta :
Answer:
The numbers are 13,15
Step-by-step explanation:
Let consecutive odd numbers be (2x-1) and 2x +1
(2x - 1)² + (2x + 1)² = 394
2 * ( [2x]² + 1² ) = 394 { ( a + b)² + (a - b)² = 2(a² + b²) }
2 * (4x² + 1) = 394
4x² + 1 = 394/2
4x² + 1 = 197
4x² = 197 - 1
4x² = 196
x² = 196/4 = 49 = 7 *7
x = 7
The numbers are: 2x-1 = 2*7 - 1 = 14-1 = 13
2x + 1 = 2*7 + 1 = 14 + 1 = 15
the answer is
11.84,13.8
Explanation
Let the first number be x,and the second be x+2
X^2+(x+2)^2=394
expand
x^2+X^2+2x+2x+4=394
2x^2+4x=390
divide the by 2
x^2+2x-195=0
using formula method
a=1
b=2
c=-195
