Verified answer

x² + (5x+5)² = (6x-5)²

x² + 25x² + 50x + 25 = 36x² - 60x + 25

10x² - 110x = 0

10x(x - 11) = 0

x = 0

x = 11

los números serían {0, 5, -5} ó {11, 60, 61}

x^2 + (5x + 5)^2 = (6x - 5 )^2

x^2 + 5^2 (x + 1)^2 = (6x - 5 )^2

x^2 + 25 (x^2 + 2x + 1) = 36x^2 - 60x + 25

x^2 + 25 x^2 + 50x + 25 = 36x^2 - 60x + 25

x^2 + 25 x^2 + 50x = 36x^2 - 60x

26 x^2 + 50x = 36x^2 - 60x

26 x^2 + 50x - 36x^2 + 60x = 0

-10 x^2 + 110x = 0

10 x ( -x + 11 ) = 0

x1 = 0

x2 = 11

solouciones:

ls numeros son

solucion 1= 0, 5 , -5

solucion 2 = 11, 60 , 61