The sum of two numbers is 49 and the sum of its squares is 41. What are the numbers?
Answers
Answered by
1
x+y=49-----(1)
x^2+y^2=41-----(2)
from (2)
(x+y) ^2-2xy=41
49^2-2xy=41
XY=49^2-41/2=2401-41/2=2360/2=1180
X=1180/y-----(3)
putting (3) in (1)
y^2-49y+1180=0
solving quadratic equation you will get the value of x and y
x^2+y^2=41-----(2)
from (2)
(x+y) ^2-2xy=41
49^2-2xy=41
XY=49^2-41/2=2401-41/2=2360/2=1180
X=1180/y-----(3)
putting (3) in (1)
y^2-49y+1180=0
solving quadratic equation you will get the value of x and y
Similar questions