Answer:
- The two solutions are:
- The next and every step are below.
Explanation:
1. 
: Given (addition property / add - 3 to both sides)
2. 
: Given (commom factor - 2)
3. 
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:
5. Divide both sides by - 2 to get the next expression:
6. The last step is to extract squere root from both sides of the equality:
Answer:
Step-by-step explanation:
Slope Formula: 
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:
Answer:
The trinomial 
is not a perfect square trinomial because the third term is not a square.
Step-by-step explanation:
A trinomial is an expression composed of three terms that are joined together by addition or subtraction.
A perfect square is created when a value is multiplied times itself. Thus, 
, making the trinomial a² + 2ab + b² a perfect square.
To show that a trinomial is a perfect square you must show that if the first and third terms are squares, figure out what they're squares of. Multiply those things, multiply that product by 2, and then compare your result with the original quadratic's middle term. If you've got a match (ignoring the sign), then you've got a perfect-square trinomial.
The trinomial is not a perfect square trinomial because the third term is not a square.
Answer:
Step-by-step explanation:
Answer :
-9(8-6n) = 0
-9(2n) = 0
-18n = 0
n = 18
