Question

The product of some negative number and 2 less than twice that number is 760 . find the number.

Answer 1

Let's say the negative number is
`x`. We know that
`x` times
`2x-2` is 760. Setting up a quadratic, we have
`2x^2-2x-760=0`. Using the quadratic formula, you have
`x = 20, x = -19`. The problem stipulated that
`x` is negative, therefore, x = -19.