The area of a rectangular wall of a barn is 192 square feet. Its length is 8 feet longer than twice its width. Find the length and width of the wall of the barn. width=
length=

Let l be length and w be the width

l = 2w+12

Area = (2w+12)*w = 224

2w^2 + 12w - 224 = 0

w^2 + 6w - 112 = 0

using quadratic formula

w=[ -6 +- {36- 4*1*(-112)}^0.5]/2*1

w = [-6 +- {484}^0.5]/2

w = [-6 +- {22}]/2

w = 16/2 or -28/2

w = either 8 or -14

Width can not be a negative number

wI’d think= 8 ft

length = 2*8+12 = 28 ft

Step-by-step explanation:

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.

step-by-step explanation: the answer is 27. first multiply .32 by 25 which equals 8. then add 8 to 25 which gives you 33. then you subtract that from 6 since she gave 6 to her brother.

,, add !