Question

A rectangular vegetable garden will have a width that is 2 feet less than the length, and an area of 48 square feet. If x represents the length, then the length can be found by solving the equation: x(x-2)=48 What is the length, x, of the garden?

Answer 1

`x {}^(2) - 2x = 48`

`x { }^(2) - 2x - 48 = 0`

using quadratic formula,

`- b ( + )/( - ) \sqrt{b {}^(2) - 4ac} / 2a`

`2 + √(196) / 2`

`2 + 14 / 2`

`x = 8`

or

`x = - 6`