SOLUTION: The product of a positive number and 16 more than seven times the number is 105. Find the two numbers

Question 1041730: The product of a positive number and 16 more than seven times the number is 105. Find the two numbers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The product of a positive number and 16 more than seven times the number is 105.
let n = "a number"
write an equation for exactly what it says
n * (7n+16) = 105
7n^2 + 16n = 105
A quadratic equation
7n^2 + 16n - 105 = 0
using the quadratic formula a=7; b=16; c=-105
I got a positive decimal solution
n = 2.89522686
:
;
lets see if that disgusting number works in the original
2.895(7(2.895 + 16) =
2.895(36.2665) = 104.99 ~ 105

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