SOLUTION: CAN YOU HELP ME FIND TWO NUMBERS WHOSE PRODUCT IS 20 AND SUM IS 17

Question 774514: CAN YOU HELP ME FIND TWO NUMBERS WHOSE PRODUCT IS 20 AND SUM IS 17
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
CAN YOU HELP ME FIND TWO NUMBERS WHOSE PRODUCT IS 20 AND SUM IS 17
---------------
Try pairs of factors of 20
1*20
2*10
4*5
Only 3 integer possibilities, and none have a sum of 17.
============================
x*(17-x) = 20

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=209 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 15.7284161474005, 1.27158385259952. Here's your graph:

============================

RELATED QUESTIONS
CAN YOU HELP ME FIND TWO NUMBERS WHOSE PRODUCT IS 20 AND SUM IS... (answered by Alan3354)

CAN YOU HELP ME FIND TWO NUMBERS WHOSE PRODUCT IS 20 AND SUM IS... (answered by Alan3354)

Find two numbers whose sum is 20 and whose product is... (answered by checkley77)

find two whose sum is 20 and product is 99. (answered by josgarithmetic)

10x^2+9x+2 It says to find two numbers whose product is 10 x 2 = 20 whose sum is... (answered by stanbon,checkley77)

find 2 numbers whose sum is 18 and product is... (answered by Alan3354,unlockmath)

Find two numbers whose sum is 10 and whose squares differ by... (answered by checkley75)

Find two integers whose sum is -9 and product is... (answered by Alan3354,stanbon)