Question

Find 2 positive numbers whose difference is 7 and whose is 294

Answer 1

Lets name the two numbers x and y, so:

`x-7=y`

And

`x\cdot y=294`

Using the first in the second we have:

`x(x-7)=294`
`x^2+7x=294`
`x^2+7x-294=0`

Using the quadratic formula we get two values 14 and -21, the only one that satisfies both conditions is 14.

So the numbers are 14 and 21.

`21-14=7`
`21\cdot14=294`