You can
put this solution on YOUR website!"2 positive numbers that differ by 2" translates to
and "have a product of 20" translates to
Start with the first equation.
Add
to both sides.
Subtract 2 from both sides.
So after isolating "y", we get
Move onto the second equation
Plug in
Distribute.
Subtract 20 from both sides.
Notice we have a quadratic equation in the form of
where
,
, and
Let's use the quadratic formula to solve for x
Start with the quadratic formula
Plug in
,
, and
Negate
to get
.
Square
to get
.
Multiply
to get
Rewrite
as
Add
to
to get
Multiply
and
to get
.
Simplify the square root (note: If you need help with simplifying square roots, check out this
solver)
Break up the fraction.
Reduce.
or
Break up the expression.
So the values of x are
or
which approximate to
or
Go back to the first isolated equation
Plug in
Combine like terms.
So the first pair of numbers is
and
-------------------------
Go back to the first isolated equation
Plug in
Combine like terms.
So the next pair of numbers is
and
