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
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Answer:
See the three attached images.
Step-by-step explanation:
image1 shows the intersection of b and c:
. (green "football")
image2 shows the <u>complement</u> of a (outside a):
(yellow)
image3 shows the intersection of those sets:
(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