MaSanches MaSanches
  • 12-11-2016
  • Mathematics
contestada

A soma dos quadrados de dois números positivos consecutivos é 41.Calcule o maior dos números

Respuesta :

Aliwohaish12
Aliwohaish12 Aliwohaish12
  • 12-11-2016
x2+ y2 = 41 [1] x+ y = 9 --> x = 9- y [2] Substituindo [2] em [1], (9- y)^2+ y2 = 81- 18y+ 2y^2 = 41 2y^2- 18y+ 40 = 0 (y- 5)(2y- 8) = 0 y1 = 5 y2 = 4 Substituindo em y1 e y2 em [2], x1 = 4 x2 = 5 Resposta: 4 e 5 (ou 5 e 4, que dá na mesma)
Answer Link

Otras preguntas

Jan received - 22 points on her exam she got 11 questions wrong out of 50 questions how much was jan penalized for each wrong answer
A muffin recipe calls for 2/5 tablespoon of vanilla extract to make 6 muffins. Arthur is making 18 muffins. How much vanilla extract does he need?
If you know that 8×300=2,400, how can you find 8×320? Explain.
[(a+3)x8+26]:5=18 va multumesc frumos
What type of government does Madagascar have?
Please solve with all work shown in independent lines and proper labelling that is easy to understand. Monica earns $19.31 per hour. Chris earns $15.07 per hour
The bicycle is said to be the most energy-efficient means of transportation. Where does the energy that drives it come from?
what is the country and continent of lisbon
write a fraction with a decimal value between 1/2 and 3/4 write both the fraction and the equivalent decimal
One pound of chicken costs $3.Jim buys 8 and 2/3 pounds of chicken.how much does jim pay for the chicken?