SOLUTION: Find two numbers (exactly) whose product is 24 and whose sum is 21

Question 524054: Find two numbers (exactly) whose product is 24 and whose sum is 21
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find two numbers (exactly) whose product is 24 and whose sum is 21
----------
x + y = 21
x*y = 24
---------
y = 21-x
x*(21-x) = 24

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=48 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 9.46410161513775, 2.53589838486225. Here's your graph:

-----------

RELATED QUESTIONS
Find two numbers (exactly) whose product is 54 and whose sum is 23. (answered by Fombitz)

Find two numbers (exactly) whose product is 15 and whose sum is... (answered by ankor@dixie-net.com)

Find two numbers whose sum is -5 and whose product is... (answered by Alan3354,ikleyn)

Find two numbers whose product is 48 and sum is 14? 2. Product -72 Sum... (answered by jim_thompson5910)

two numbers whose sum is 21 and whose product is... (answered by oberobic)

find two numbers whos sum is 21 and whose product is a... (answered by MathLover1)

find three numbers in arithmetic progression whose sum is 21 and whose product is... (answered by stanbon,RAY100)

find three numbers in arithmetic progression whose sum is 21 and whose product is... (answered by solver91311)

The two numbers whose sum is -10 and whose product is 24 are (answered by music.chick)