SOLUTION: the difference of two numbers is 3 and the product is 10. what are the two numbers?

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let two numbers be and
the difference of two numbers is
.....1
and the product is
......2

to find out what are the two numbers, solve this system:

.....1
......2
--------------------------
.....1...solve for
......plug it in 2

......2

...use quadratic formula to solve for

....note that , , and







solutions:



or




now find


...plug in



or
...plug in


so, you have two sets of solutions, and they are:
1.


2.



check first set:



.....1


and the product is
......2

You can put this solution on YOUR website!
the difference of two numbers is 3 and the product is 10. what are the two numbers?

Let the first number be F, and the second S

We can therefore say that:

F - S = 3 ------ S = F - 3 ------ eq (i)
FS = 10 ------ eq (ii)

F(F - 3) = 10 ------ Substituting F - 3 for S in eq (ii)



(F - 5)(F + 2) = 0

F - 5 = 0, or F + 2 = 0

F, or first number = 5 or - 2

Substituting 5 for F in eq (ii), we find that S, or second number = 2
Substituting - 2 for F in eq (ii), we find that S, or second number = - 5

This means that the numbers are either: or

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