Answer:
The numbers are
and
Step-by-step explanation:
Let
x -----> the smaller positive real number
y -----> the larger positive real number
we know that
A positive real number is 2 less than another
so
----> equation A
When 4 times the larger is added to the square of the smaller, the result is 49
so
----> equation B
substitute equation A in equation B
solve for x
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
so
The positive real number is
Find the value of y
