Answer:
.
Step-by-step explanation:
We are given 
and 
are zeros of the polynomial 
.
We want to find the value of 
if 
.
Lets use veita's formula.
By that formula we have the following equations:
(-b/a where the quadratic is ax^2+bx+c)
(c/a)
Let's simplify those equations:
If and , then 
.
Let's solve this for k:
Subtract 6 on both sides:
Find a common denominator:
Simplify:
.
Answer:
45° and 135°
Step-by-step explanation:
let one angle be "x" and the other be "y"
Angles which are supplementary total to 180°. This can be represented with the equation:
x + y = 180
If angle "x" is a third of angle "y", the situation is represented with this equation:
(1/3)x = y
Since fractions are difficult to work with, multiply the whole equation by 3.
(1/3)x = y <= X 3
x = 3y
Use the equations x+y=180 and x=3y.
You can substitute x=3y into x+y=180.
x + y = 180
(3y) + y = 180 <=combine like terms
4y = 180 <=isolate y by dividing both sides by 4
y = 45
Substitute y=45 itno the equation x+y=180 to find x.
x + y = 180
x + 45 = 180 <=isolate x by subtracting 45 from both sides
x = 135
Therefore the angles are 45° and 135°.
M=8 this multiply of two it is easy <span />
