Physics and Mathematics Tutoring

Simultaneous Equations with Roots


> Home > MPOTW > 28/09/21 >

^

-

-



28/09/2021

Solve Simultaneously

x+y=11 x+y=7

-/|\-

Solution:

The equations imply that x,y>0.
Both equations have integers of the RHS
implying x,y,x,y are elements of the integers
moreover x,y are perfect squares
so 0<x<7 and 0<y<11.
So x{1,4} and y{1,4,9}.
Therefore x=4 and y=9
Are there any other solutions?

-oOo-



LinkedIn
IOP
Senet Mobile UK
Please Donate at saddlesore.bike
^

COVID-19 |  About |  Availability | T's and C's |  Contact |  Site Map |

Contact Michael Andrew Smith on 0 77 86 69 56 06 or via mike.smith@physics.org

Expires 1 Year After Update

Unicorn Validator
w3c Link Checker
w3c Spell Checker

Site by M.A. Smith.
Copyright © 2006-21 M.A. Smith. All rights reserved.
v.1.9.22