Problema Solution
The difference between two numbers is 5. If their product is 2.75 determine their numbers.
Answer provided by our tutors
let 'x' and 'y' be the numbers and let x>=y
the difference between two numbers is 5
x - y = 5
their product is 2.75
x*y = 2.75
by solving the system of equations
x - y = 5
x*y = 2.75
we find
Solution 1:
x = 5.5
y = 0.5
Solution 2:
x = - 0.5
y= - 5.5
there are 2 solutions, 2 pairs of numbers that satisfy the conditions:
first solution: 5.5 and 0.5
second solution: - 0.5 and - 5.5