<PRE><B>Question 6763</B>
Try this!

Let the two numbers be x and y.
Then:
 x + y = 10 Rewrite as: x = 10 - y and substitute into equation below.
xy = -24.

(10 - y)Y = -24  Solve for y.
10y - y^2 = -24  Add 24 to both sides and put into standard form.
y^2 - 10y - 24 = 0 Solve the quadratic by factoring.
(y + 2)(y - 12) = 0 Apply the zero product principle.

y + 2 = 0, y = -2
y - 12 = 0, y = 12

Now substitute these values of y into the original equations:

x = 10 - y
x = 10 - (-2)
x = 12

And:

x = 10 -y
x = 10 - 12
x = -2

The two numbers are: -2 and 12

Check:

12 + (-2) = 10, and
12(-2) = -24



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