Answer:
The first option
Step-by-step explanation:
The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.
So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. 
. So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is 
. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15
X-4=-11
move -4 to the other side
to get X by itself
sign changes from -4 to +4
X-4+4= -11+4
X= -11+4
Answer:
X= -7
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0
Answer:
Using Pythagoras Theorem, squareroot 15^2 - 5^2.
After you found the opposite length, use the cosine rule to find angle x.
