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

What nations gained controlled of germany after WW2?
Between 1950 and 2010, more than _____ children died before age 5.
In baillargeon's view, infants have a pre-adapted, innate bias called the principle of _____ that explains their assumption that objects do not change their pro
Which of the following structures is responsible for providing energy for the cell
How was the native African culture important to and/or protected by Nelson Mandela?
"i don't believe that a person can really be hypnotized," dr. pilar says. "i think they just act the way they think they are supposed to act when in a hypnotic
Evaluate the function fx = 4 * 7^t for x= -1 and x=2
A demand curve that is horizontal indicates that the commodity
A patient with a loss of peripheral vision most likely has damage to the:
what is the slope and the y-intercept of the line y = 3 x + 10 y=3x+10. Write the y-intercept in coordinate form.