As you must know that (a + bi) and (a-bi) are complex numbers,each being conjugate of each other.
The meaning of conjugate is change the sign of the number preceding imaginary part.
In a+bi ,bi being the imaginary part . It has positive sign before it .so just change the sign to -(negative) .So a-bi is the conjugate of a+bi. Similarly a+bi is the conjugate of a-bi.
Now com to the product of two complex number which are conjugate of each other.
(a+bi)(a-bi)=
=
So product of (74 x +94 i) and (74 x-94 i) which are conjugate of each other , their product will be
=
The expression (74x+94i)(74x−94i) can be written as the difference of squares (74x)2−(94i)2, which is equal to 4916x2+8116.
This statement is true for Princess Poly Regarding her product of (74x+94i) and (74x−94i).
18/24 = 0.75
0.75 x 100 = 75%
Answer: x=10, y=7.5
Step-by-step explanation:
For this problem, we are given that BD bisects ABC. That means ABD and DBC are equal to each other. We are also given that ABC is 25. With the given information, we can create two equations.
Equation 1: 2x-y=3y-x
Equation 2: 2x-y+3y-x=25
Now, we can solve for x and y.
2x-y+3y-x=25 [combine like terms]
x+2y=25
Let's simplify Equation 1 by solving for a variable.
2x-y=3y-x [add both sides by x]
3x-y=3y [add both sides by y]
3x=4y [divide both sides by 3]
x=4/3y
Now that we have x, we can plug it into any equation to solve for y.
x+2y=25 [plug in x=4/3y]
(4/3y)+2y=25 [combine like terms]
10/3y=25 [multiply both sides by 3/10]
y=15/2
Now we can plug in y=15/2 to solve for x.
x=4/3y [plug in y=15/2]
x=4/3(15/2) [multiply]
x=10
Now, we know that x=10 and y=7.5.
N is 4
When it tells you what the square root of 32x^10y^n is can reduce to 4x^5y^3 square root of 2y. You see there is a y^3 and a y left over add them
Answer:
The discriminant is 0
There is 1 real solution
Step-by-step explanation:
Use the discriminant formula, D = b² - 4ac
In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.
Plug in these values into the formula:
D = b² - 4ac
D = (-4)² - 4(1)(4)
D = 16 - 4(4)
D = 16 - 16
D = 0
So, the discriminant is 0.
With a discriminant of zero, there is one real solution.
So, the number of real solutions is 1.