Jimmy is building a rectangular fence for his back yard. If the perimeter of the fence is 300 feet and the width 20 feet longer than the length, find the distance of each side.

Length-65 ft   Width: 85

Step-by-step explanation:

Let's set the length as x, and the width as x+20 (because it is 20 ft longer than length)

We know that 2L+2W=Perimeter

We can substitute x and x+20 in for 2L and 2W, and 300 for Perimeter

New Equation: 2(x) +2(x+20)=300

After Distribution: 2x+2x+40=300

Combine like terms: 4x+40=300

Subtract 40 from both sides: 4x=260

Divide 4 on both sides and you get x=65 (Length)

Add 20 to get width : x+20= 85

I hope it helped! :)

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.