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Find two numbers who have a sum of 21 and a product of 104.
Please include the following in your response:
1) The system of equations used to solve the problem (These are the two equations)
2) The two numbers (The answer)
3) A brief explanation of how you found the numbers

Sagot :

abidemiokin

The  two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

System of equations

Let the two unknown numbers be x and y

If the sum of the numbers is 21, hence;

x + y = 21

x = 21 - y

If the product is 104, then;

xy = 104
(21-y)y = 104

21y - y^2 = 104
y^2-21y + 104 = 0

Factorize the result

y^2-8y - 13y+ 104 = 0
y(y-8) - 13()y-8) = 0
y = 13 and 8

Hence the two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Learn more on system of equation here:  https://brainly.com/question/847634

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