Answer:
<em>π/2 and π/3</em>
Step-by-step explanation:
Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.
let P = cosx
The equation becomes 2P²-P = 0
P(2P-1) = 0
P = 0 and 2P-1 = 0
P= 0 and P = 1/2
Since P = cosx
cosx = 0 and cos(x) = 1/2
If cos(x) = 0
x = cos⁻¹0
x = 90⁰
x = π/2
If cos(x) = 1/2
x = cos⁻¹1/2
x = 60⁰
x = π/3
<em>Hence the solutions to the equation are π/2 and π/3.</em>
Answer:
Its 4 and -4 :)
Step-by-step explanation:
Answer: The required x-intercept of the given line is 
Step-by-step explanation: We are given to find the x-intercept of the line with the following equation :

We know that
x-intercept of a line is a point on the line where the line crosses the x-axis, that is y co-ordinate is 0.
Substituting y = 0 in equation (i), we get

Thus, the required x-intercept of the given line is 
Answer:
The length is 5 times the width
Step-by-step explanation:
Let
W ----> the width of the rectangle
L ----> the length of the rectangle
we know that
The area of rectangle is equal to

In this problem we have
----> equation A
----> equation B
substitute equation B in equation A
therefore
The length is 5 times the width