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

Four things that were damaged ween mount etna erupted were
Use elimination to solve the system:6x-4y=6-6x+3y=0
Mary has 12 marbles 3/12 of the marbles are yellow and 2/12 of the marbles are blue.The rest of the marbles are green.How many marbles are green?
7 qt. 2c. =______ c.
Mary has 12 marbles 3/12 of the marbles are yellow and 2/12 of the marbles are blue.The rest of the marbles are green.How many marbles are green?
the water pipe has a radius of 5 cm and a height of 7 cm. what volume of water does it take to fill the pipe?
Use elimination to solve the system:6x-4y=6-6x+3y=0
How can I split five brownies between three people
Four things that were damaged ween mount etna erupted were
Tickets to a play cost $14 each by mail, plus a $2 processing fee for each order or one or more tickets. Write a rule to describe the total cost as a function o