SOLUTION: one number is 10 less than five times number. their product is 120. find the numbers

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Question 761541: one number is 10 less than five times number. their product is 120. find the numbers
Answer by ramkikk66(644)   (Show Source): You can put this solution on YOUR website!
FIrst number is 10 less than 5 times second number.
Let second number be x
First number is then 5*x - 10
Product =



Solving for x, x = +6 or -4.
First number can be 20 or -30
Possible solutions are (20,6) and (-30,-4)
Solution for the above quadratic equation is shown through solver below.
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=100 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6, -4. Here's your graph:

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