" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
b * h = 80
despejamos "b" en la primera
2b + 2h = 36
2b = 36 - 2h
b = (36 - 2h) / 2
b = 18 - h
sustituimos en la segunda
(18 - h)h = 80
18h - h² = 80
- h² + 18h - 80 = 0
a = - 1
b = 18
c = - 80
formula
(- b ± √b² - 4*a*c) / 2a
sustituimos
(- 18 ± √18² - 4*(- 1)*(- 80)) / 2(- 1)
(- 18 ± √324 - 320) / - 2
(- 18 ± √4) / - 2
(- 18 ± 2) / - 2
x1 = 8
x2 = 10
comprobamos
2b + 2h = 36
2(10) + 2(8) = 36
20 + 16 = 36
36 = 36
b * h = 80
10 * 8 = 80
80 = 80
resultados
la base mide 10 cm
la altura mide 8 cm