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

Water and soil are brought into the Indus River Valley as a result of __________. A. high winds B. annual floods C. long droughts D. seasonal tornadoes
Pleeeeeease help me soon
Match the descriptions / definitions with the term they best describe 1. Three dimensional relationship of the different polypeptide chains in a multisubunit pr
you paid 28.00 for 8 gallons of gasoline. How much would you pay for 15 gallons of gasoline?
What are the uses of polythene ?
The standard deviation for a set of data is 5.5. The mean is 265. What is the margin of error?
Expand and simplify (x-5)(x-4)
complete the solution of the equation. find the value of y when x equals to 28 x+3y=28
I need help with all of them thanks!(19 points)
The Sahel is located on the _______ edge of the Sahara Desert. A.North B.West C.South D.East