Answer:
The roots are
Step-by-step explanation:
we have
so
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
square root both sides
Answer:
Step-by-step explanation:
6cos^2(x) + 7cos(x) +2 = 0
Call cos(x) = y to change this to something a little bit more familiar.
6y^2 + 7y + 2 =0
This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)
This equation factors into 2 possible answers
(3y + 2)(2y + 1) = 0
3y + 2 = 0
3y = - 2
y = - 2/3
2y + 1 = 0
2y = - 1
y = - 1/2
Now let's start with
cos(x) = - 1/2
That means that x is in quadrant two or three.
cos-1(1/2) = 60 degrees.
Quad 2: x = 180 - 60 = 120
Quad 3: x = 180 + 60 = 240
Now cos(x) = - 2/3
cos-1(2/3) = 48.19
Quad 2: x = 180 - 48.19 = 131.81
Quad 3: x = 180 + 48.19 = 228.19
It is 0...77% sure i guess.
Parallel lines refers to a pair of straight lines that never intercept or touch each other. The slopes of this lines is the same one.
On this exercise is given the equation of a line, and is asked to find the slope of a line that is parallel to the given one.
5x-3y=1 Subtract 5x in both sides
-3y=-5x+1 Divide by -3 in both sides to isolate y
y=5/3x-1/3
The slope of the given line, 5x-3y=1, is 5/3, which means that the slope of a line parallel to this one, would be 5/3.
