Answer:
x=-1, x=3 e x=2i, x=-2i
Step-by-step explanation:
Solve for x over the real numbers:
x^4 - 2 x^3 + x^2 - 8 x - 12 = 0
The left hand side factors into a product with three terms:
(x - 3) (x + 1) (x^2 + 4) = 0
Split into three equations:
x - 3 = 0 or x + 1 = 0 or x^2 + 4 = 0
Add 3 to both sides:
x = 3 or x + 1 = 0 or x^2 + 4 = 0
Subtract 1 from both sides:
x = 3 or x = -1 or x^2 + 4 = 0
Subtract 4 from both sides:
x = 3 or x = -1 or x^2 = -4
x^2 = -4 has no solution since for all x on the real line, x^2 >=0 and -4<0:
Answer: |
| x = 3 or x = -1
y: original price (in dollars)
0.12y: amount of discount (in dollars)
sale price: y - 0.12y = 0.88y
sales tax on this sale price: (0.06)(0.88y)
final cost: 0.88y + (0.06)(0.88y) = 0.88y(1+0.06) = 0.9328y
Use the order of operations (PEMDAS):
Parentheses, Exponents, Multiplication & Division, and then Addition & Subtraction
************************
1) (8 - 2) + 18 x 6
<u>Parentheses</u> (8 - 2)
6 + 18 x 6
<u>Multiplication</u> (18 x 6)
6 + 108
<u>Addition</u> (6 + 108)
114
**************************
2) (15 + 29 - 4) x 4
<u>Parentheses</u> (15 + 29 - 4)
40 x 4
<u>Multiplication</u> (40 x 4)
160
******************************
3) (13 + 5) x (13 - 5)
<u>Parentheses</u> (13 + 5) and (13 - 5)
18 x 8
<u>Multiplication</u> (18 x 8)
144
*********************************
Answers: 114, 160, 144
4x^2 + x - 5 = 4x^2 + 5x - 4x - 5
Therefore, required solution is 5x and -4x.
Answer:
![y=\sqrt[3]{x} +2](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx%7D%20%2B2)
<h2>BRAINLIEST please if this helped!</h2>
