SOLUTION: Find two numbers such that their sum is 302 and their product is 189.

Question 913704: Find two numbers such that their sum is 302 and their product is 189.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
x(302-x) = 189
302x - x^2 = 189
x^2 -302x + 189 = 0

Solved by pluggable solver: SOLVE quadratic equation with variable

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=90448 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 301.372869893475, 0.627130106524874. Here's your graph:

RELATED QUESTIONS
FIND TWO NUMBERS SUCH THAT THEIR SUM IS 6 AND THEIR PRODUCT IS... (answered by prabhjyot)

Find two numbers such that their sum is 10 and their product is... (answered by edjones)

Find two numbers such that their sum is 10 and their product is 22? (answered by richard1234)

find two positive numbers such that their sum is 25 and their product is a... (answered by chriswen)

Find two numbers such that their sum is 6 and their product is... (answered by rothauserc)

Find two numbers such that thier sum is 8 and their product is... (answered by ewatrrr)

find two consecutive odd natural numbers such that their product is 223 more than their... (answered by Alan3354)

Find two numbers such that: 1. Their difference is 13 and their product is -40 2.... (answered by stanbon)

Find three numbers in GP such that their sum is 39 and their product is... (answered by Alan3354,greenestamps)