Solve for x. 9x = 3x − 36
2 answers:
Answer: x= -6
Step-by-step explanation:
The given equation :
To solve for x , We first subtract 3x from both the sides m, we get
Now, Simplify
Divide both sides by 6 , we get
Now, Again Simplify
Hence, the value of x in the given equation is x= -6
Answer:
Step-by-step explanation:
In order to solve for "x", we must remember the following properties:
- The Subtraction property of Equality states that:
If , then
- The Division property of Equality states that:
If , then
Therefore, knowing these properties, we can solve for "x" to find its value.
First, we need to subtract from both sides of the equation. Then:
And finally, we can divide both sides of the equation by 6. Then we get:
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Answer:
The square roots of 49·i in ascending order are;
1) -7·(cos(45°) + i·sin(45°))
2) 7·(cos(45°) + i·sin(45°))
Step-by-step explanation:
The square root of complex numbers 49·i is found as follows;
x + y·i = r·(cosθ + i·sinθ)
Where;
r = √(x² + y²)
θ = arctan(y/x)
Therefore;
49·i = 0 + 49·i
Therefore, we have;
r = √(0² + 49²) = 49
θ = arctan(49/0) → 90°
Therefore, we have;
49·i = 49·(cos(90°) + i·sin(90°)
By De Moivre's formula, we have;
Therefore;
√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))
∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))
√(49·i) = ± 7·(cos(45°) + i·sin(45°))
The square roots of 49·i in ascending order are;
√(49·i) = - 7·(cos(45°) + i·sin(45°)) and 7·(cos(45°) + i·sin(45°))