PART A:
The given quadratic equation is 2x²-10x-8=0
The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c
From the given equation, we have
a = 2
b = -10
c = -8
Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164
The radicand is >0 hence the quadratic equation has two distinct roots
PART B:
4x²-12x+5 = 0
We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12
The pair of number is -2 and -10
Rewriting the equation 
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0
2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
        
             
        
        
        
Answer:
Algebraic expression in terms of k
      k= T- p
Step-by-step explanation:
As 
no of kittens left = k
no of puppies left =p
If total left after giving away kittens  =T
T = p + k
In terms of k the expression will be 
k= T- p
Keywords: Algebra
Learn more about algebra at:
#learnwithBrainly
 
        
             
        
        
        
Answer:
See the three attached images.
Step-by-step explanation:
image1 shows the intersection of b and c:   . (green "football")
. (green "football")
image2 shows the <u>complement</u> of a (outside a):   (yellow)
  (yellow)
image3 shows the intersection of those sets:   (green "football with a bite out of it")   :-)
 (green "football with a bite out of it")   :-)
 
        
             
        
        
        
Answer:
15 inches
Step-by-step explanation:
Suppose length of original square is L inches.
Now, to form a new square the length increases by 2.5 inches
So, new length=L+2.5 inches
Given that, perimeter of new square =70 inches.
Formula:- 
         Perimeter=4*length of square
Therefore 70=4*(L+2.5)
                    70 =4 L+10
                    4 L=60
                   L=15 inches
 
        
                    
             
        
        
        
Answer:
1
Step-by-step explanation:
I guessed on the problem and it was right