The length of a rectangle is 4 centimeters less than three times the width. the perimeter of the rectangle is 88 centimeters. what are the dimensions of the rectangle?

2 [ (x) + (3x - 4) ] = 88

2 [ x + 3x - 4 ] = 88

2 [ 4x - 4 ] = 88

4x - 4 = 44

4x = 40

x = 10 cm [ width]

3(10) - 4 = 26 cm [length]

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.