Answer:
The value of x is -2 and 2.
Step-by-step explanation:
When solve an expression, you have to make the expression equals to 0 by moving all the terms to one side :
x² - 3x - 1 = -3x + 3
x² - 3x - 1 + 3x - 3 = 0
x² - 4 = 0
Next, you have to factorize and solve it :
x² - 4 = 0
x² + 2x - 2x - 4 = 0
x(x + 2) - 2(x + 2) = 0
(x + 2)(x - 2) = 0
x + 2 = 0
x = -2
x - 2 = 0
x = 2
$10,440.13
Hope this helps ! :)
By definition, the standard form of a polynomial is given by:
We then have the following polynomial:
Rewriting in its standard form we have:
We realize that the polynomial has three terms, therefore, it is a trinomial.
The largest exponent of the polynomial is three and therefore we have a trinomial of degree three.
Answer:
Three degree trinomial.
Answer:
Step 1: 14x − 21 = 1; Step 2: 14x = 22
Explanation:
7(2x−3)=1
Step 1: Simplify both sides of the equation
7(2x−3)=1
(7)(2x)+(7)(−3)=1(Distribute)
14x+−21=1
14x−21=1
Step 2: Add 21 to both sides
14x−21+21=1+21
14x=22
Step 3: Divide both sides by 14
14x / 14 = 22 / 14
x = 22 / 14: x = 11/7
Answer: the length is 6 feet. The width is 2 feet
Step-by-step explanation:
The garden pool is rectangular in shape.
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that
L× W = 12 - - - - - - - - - - 1
The length of the pool needs to be 2ft more than twice that width. This means that
L = 2W + 2 - - - - - - - - - - - 2
Substituting equation 2 into equation 1, it becomes
W(2W + 2) = 12
2W^2 + 2W = 12
2W^2 + 2W - 12 = 0
W^2 + W - 6 = 0
W^2 + 3W - 2W - 6 = 0
W(W + 3) - 2(W + 3) = 0
W - 2 = 0 or W + 3 = 0
W = 2 or W = - 3
Since the Width cannot be negative, then the width is 2 feet
Substituting W = 2 into equation 2. It becomes
L = 2×2 + 2 = 6 feet
