Answer:
x= 4, -1
Step-by-step explanation:
-2x - 2 + x^2 + x + 180 - 2x - 2 = 180
add like terms and put in descending order
x^2 - 3x + 176 = 180
subtract 180 from both sides
x^2 - 3x - 4 = 0
factor out the equation
(x-4)(x+1)=0
solve for x
x-4=0 x+1=0
x=4 x=-1
Answer:
V≈7240.89
Step-by-step explanation:
Use the formula V=A^(3/2) / ![6\sqrt[n]{pi}](https://tex.z-dn.net/?f=6%5Csqrt%5Bn%5D%7Bpi%7D)
Dimensions are length 20 meter and width 14 meter
<em><u>Solution:</u></em>
Let "a" be the length of rectangle
Let "b" be the width of rectangle
Given that,
<em><u>A rectangle has width that is 6 meters less than the length</u></em>
Width = length - 6
b = a - 6
The area of the rectangle is 280 square meters
<em><u>The area of the rectangle is given by formula:</u></em>

<em><u>Substituting the values we get,</u></em>

<em><u>Solve the above equation by quadratic formula</u></em>



Since, length cannot be negative, ignore a = -14
<em><u>Thus solution of length is a = 20</u></em>
Therefore,
width = length - 6
width = 20 - 6 = 14
Thus dimensions are length 20 meter and width 14 meter