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:
17.5 L
Step-by-step explanation:
There are 17.5 Liters in 17,500 ML.
Hope this helps!
Plz Mark Brainliest!
Answer:
B
Step-by-step explanation:
x²+2x=19 add 1 to both sides which gives you x²+2x+1=20
x²+2x+1 is the same as (x+1)²
Therefore (x+1)²=20
To start, we need to distribute
multiply 2x by <em>everything</em> in the parenthesis
2x (5 + 3x) - x
2x × 5 = 10x
2x × 3x = 6x²
now we have...
10x + 6x² - x
<em>simplify </em>
<u>6x² + 9x </u>
the coefficient of x is 9!
A/b times b/c is = ab/bc
which can be written as a/c times b/b
anything over itself is 1 so b/b is one
a/b times b/c = a/c
