So x is a variable which is just <span>character representing a number. We want to find x. To do this we want to get X by itself on one side of the equation. In this case/ we just need to divide both side by -4. Whatever you do to one side, you must do to the other. This gives us X = -12. To check yourself just plug your answer back into the equation to see if its right. -4(-12) = 48. You have successfully solved for X.</span>
Answer:
x = 0.343
Step-by-step explanation:
We want to solve:
5 - 3tan(3x) = 0
such that:
-π< x < π
where π = 3.14
then:
-3.14 < x < 3.14
Let's solve the equation:
5 - 3tan(3x) = 0
-3tan(3x) = -5
tan(3x) = -5/-3 = 5/3
Now we can use the inverse tan function, Atan(x).
Remember that:
Atan( tan(x) ) = tan( Atan(x)) = x
Then if we apply that function to both sides, we get:
Atan( tan(3x)) = Atan(5/3)
3x = Atan(5/3)
x = Atan(5/3)/3 = 0.343
Given:
The rug is in the shape of a kite.
in
in
To find:
The width and area of the rug
Solution:
Width of the rug = 9 in
Area of the kite = 
= 139.5 in³
The area of the rug is 139.5 in³.
X² − 6x + 7 = 0
Let's complete the square [x²-6x+(??)²] -(??)² +7 = 0
As you noticed we have added the unknown square & also subtract the same so that not to change the equation
The question now is to calculate this square (??)²
We know that the middle term (6x) is twice the square root of the 1st times the square root of the 2nd, That is 6x=2x (multiply) √(??)²
6x = 2x?? & ??=6x/2x===> ?? =3 & (??)² =9
Hence plug (??)² into the equation above:
x² - 6x + 9 - 9 +7 =0
(x²-6x+9) -9 + 7 =0
(x-3)² -2 =0 ====> (x-3)² = 2 (that is B)
