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

find BD???????????????
The gravitational force between two spheres in outer space is 1000 n. how large would this force be if the mass of each sphere were doubled and the distance bet
How can you use a rate to compare the costs of two boxes of cereal that are different sizes?
Question 10(Multiple Choice Worth 1 points) (8.01 MC) Two lines, A and B, are represented by the equations given below: Line A: y = x − 6 Line B: y = 3x + 4 Whi
how long will it take you to drive 175 miles at the speed of 25 mph?
The equation for the circle is: x^2 + y^2 +14x+10y−7=0 .   What is the center of the circle?
How can i work this problem out
He is going to cook a turkey for 14 people and he wants to allow 3/4 lb of turkey for each person. 1lb=450g
it rain yesterday after it be dry for many months
Which of the following is the correct expanded form for the series below?