Question

The length of a rectangle is 16 units more than it's with. The area of the rectangle can be expressed as x^4 - 64.

Answer 1

Answer:

$Width = x^2 - 8$

Step-by-step explanation:

Given

$L = 16 + W$

$Area = x^4 - 64$

Required

An expression for the width

We have:

$Area = x^4 - 64$

Express as difference of two squares:

$Area = (x^2 + 8)(x^2 - 8)$

For all acceptable values of x,

$x^2 + 8>x^2 - 8$

So:

$Length = x^2 + 8$

$Width = x^2 - 8$