SOLUTION: the sum of two integers is 10 and their product is 24. Find the two integers.

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Question 40835This question is from textbook
: the sum of two integers is 10 and their product is 24. Find the two integers. This question is from textbook

Found 3 solutions by fractalier, psbhowmick, stanbon:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If one of them is x, then the other must be 10 - x...they add to 10, right?
Thus we have
x(10 - x) = 24
10x - x^2 = 24
x^2 - 10x + 24 = 0
(x - 6)(x - 4) = 0
X = 6 and 4

Answer by psbhowmick(878) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of two integers is 10 and their product is 24. Find the two integers.
Let the integers be x and y
EQUATION:
x+y=10
xy=24
Solve the 1st equation for y: y=10-x
Substitute that value of y into xy=24
x(10-x)=24
10x-x^2=24
x^2-10x+24=0
(x-4)(x+6)=0
x=4 or x=6
If x=4 then y=6
If x=6 then y=4
Cheers,
Stan H.