Respuesta :
The numbers that the product is 26 and one of the numbers is one larger than six times the other number are 2 and 13.
How to form equation and solve for the variable?
The product of two numbers is 26.
let the two numbers be x and y.
Therefore,
xy = 26
One of the numbers is one larger than six times the other number. Therefore,
x = 1 + 6y
Hence,
xy = 26
(1 + 6y)y = 26
y + 6y² = 26
6y² + y - 26 = 0
using quadratic formula,
[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex]
where
a = 6
b = 1
c = - 26
Therefore,
y = 2 or - 13 / 6
We can only use the positive value.
Hence,
2x = 26
x = 26 / 2
x = 13
learn more on equation here: https://brainly.com/question/27427535
