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

If the odds on a bet are 7:1 against, what is the probability of winning? Express your answer as a fraction.
A sector of a circle of radius 14cm containing an angle 60° is folded to forma cone Calculate the radius of the base of the circle }
A laser emits light at a wavelength of 678 nm. How many photons are required to emit 1 joule of energy?
help pls i’ll do anything D:
The position of a particle is given by s = 0.27t 3 − 0.65t 2 − 2.35t + 4.4, where s is in feet and the time t is in seconds. Plot the displacement, velocity,
-3 5/7 X -2 1/2 I really don't understand
What is the so called "democracy deficit" in the EU?
During the distillation nitrogen gas is obtained first, then argon and oxygen. What can u say about the boiling points of these three gases?
Literary Element: Exposition: The exposition is information the character at the begining of the story. Pi is a boy who gut in an accident when he was young. on
Help my son please!!!