For this case we have to:
Given the quadratic equation of the form:
The roots are given by:
If we have: 
We can rewrite it in the following way:
Where:
Where we have:
By definition: 
Thus, the roots are given by imaginary numbers:
Answer:
Answer:
[1] = 6
x = -3/2 is the root
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a + b)² = a² +2ab +b²
You have ...
- a²=16w² ⇒ a = 4w
- b² = 36 ⇒ b = 6
- 2ab = 2(4w)(6) = 48w
Then the factorization is ...
16w² +48w +36 = (4w +6)²
This will be zero when x = -6/4 = -3/2.
Answer:
The midpoint is at ( 1/2, 3/2)
Step-by-step explanation:
Midpoint
To find the x coordinate of the midpoint
Add the x coordinates of the endpoints and divide by 2
( -4+5)/2 = 1/2
To find the y coordinate of the midpoint
Add the y coordinates of the endpoints and divide by 2
( 4+-1)/2 = 3/2
The midpoint is at ( 1/2, 3/2)
Answer:
45 cats 18 dogs
Step-by-step explanation:
63/7 = 9
9*5=45
9*2=18
45+18=63
Answer:
Step-by-step explanation:
x^2 - 6x - 27
(x - 9)(x+3)
