150 divided by 25 is 6 so the answer is 6
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:
The number are
and
.
Step-by-step explanation:
Given as :
The difference between the squares of two number = 3
And , Twice the square of the first number increased by the square of the second number is 9
Now, Let The first number = F
And The second number = S
So , According to question
F² - S² = 3 .......A
2 F² - S² = 9 ........B
Now, solving the equations
( 2 F² - S² ) - ( F² - S² ) = 9 - 3
Or, ( 2 F² - F² ) + ( S² - S² ) = 6
Or, F² + 0 = 6
∴ F = 
Putting the value of F in eq A
So, (
)² - S² = 3
Or, 6 - 3 = S²
Or, S² = 3
∴ S = 
So, The number are
,
Hence The number are
and
. Answer
I think the answer is A but I could be wrong