lindaxiong2017 lindaxiong2017
  • 04-05-2020
  • Mathematics
contestada

One positive integer is 4 less than twice another. The sum of their squares is 100. Find the integers.

Respuesta :

NyeinSu
NyeinSu NyeinSu
  • 04-05-2020

Answer:

x = 8, y = 6

Step-by-step explanation:

Let positive integer = x

another = y

x = 2y-4

x^2+ y^2 = 100

(2y-4)^2 + y^2 = 100

4y^2 - 16 y + 16 + y^2 = 100

5y^2 - 16 y + 16 - 100 = 0

5y^2 - 16y - 84 = 0

(5y + 14) ( y - 6) = 0

5y = -14 or y = 6

positive so we can ingnore 5y = -14

y = 6 in x = 2y - 4,

x = 12-4

x= 8

so, y = 6

x = 8

Answer Link

Otras preguntas

The algebra tiles represent the perfect square trinomial x2 + 10x + c. What is the value of c?
The slave who sued for his freedom in the supreme court was ______ .
Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check all
4. Which phrase makes sense in this dialogue? —¿Qué programas no te aburren? —No _____ los dibujos animados. A. me gustan B. te encantan C. me aburren D. te ab
How did settlers moving west react to the treaties signed by Native Americans
1. bones can grow because they are made of ___________
help!!!!! please!!!!!!!
Eun Mi raked 1/3 of her mothers lawn. Her brother also raked 1/3 of the lawn. What part of the whole lawn still needs raking?
1. To prevent a driver with a suspended license from driving further, a person convicted of driving with an invalid license may be penalized with __________ .
Please help!!!!! Need answers quick