We have that
3sin x+cos²<span>x=2
</span>3sin x+(1-sin²x)<span>=2
</span>-sin²x +3sin x=1
sin²x -3 sin x+1=0---------> up to here the procedure is correct
let
A=sin x
then
A²-3A+1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(A²-3A)=-1
Complete the square. Remember to balance the equation
by adding the same constants to each side.
(A²-3A+2.25)=-1+2.25
Rewrite as perfect squares
(A-1.5)²=1.25
(+/-)(A-1.5)=1.12
first solution
(A-1.5)=1.12--------> A=1.12+1.5-----> A=2.62-----> sin x=2.62
second solution
-(A-1.5)=1.12----> -A+1.5=1.12----> A=1.5-1.12----> A=0.38---> sin x=0.38
the answer is
the equation was factored incorrectly
Answer:
4+n/6 (the slash means a fraction with n on top.) <3
Step-by-step explanation:
Answer:
x = 0.29 m
Step-by-step explanation:
Given :
The length of the hammer is = 0.29 m
The hammer is a tool that may be used in various operation or work by mechanics, plumbers, or masonries and even by normal people.
So let the length of the hammer be x.
The length of the hammer is expressed in meters or inches or centimeters.
Therefore, the expression of length of the hammer is expressed as x = 0.29 m.
Answer:
1 solution
Step-by-step explanation:
the equation when distributed and simplified comes out to x=21
since there is only one variable there is only one answer
When n=\frac{9}{4}n=49, the original equation -4|8-5n|=13−4∣8−5n∣=13 does not hold true.
We will drop n=\frac{9}{4}n=49 from the solution set
Answer:
No Solution Exist
