Answer:
B. x=1+2i or x=1-2i.
Step-by-step explanation:
The equation is given as;
x²-2x+5=0
complete the square method to find value of x as;
x²-2x = -5
x²-2x + 1 = -5 + 1
x²-2x +1 =-4
( x-1 )² = -4
x-1 = ±√-4 ---------<em>where √-1 = i</em>
x-1 =± 2i
So;
x-1 = + 2i
x= 1+2i
or
x= 1-2i
x= 1-2i
5= 3.966
7=11.949 those are the answers for 5 and 7
To calculate for the magnitude of vector PQ, what needs to be done is to determine the distance between them through the two-point equation which is shown below.
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the known values,
d = sqrt ((13 - 5)² + (12 - 9)²)
The value of d from the equation is sqrt of 73 or 8.54.
Therefore, the magnitude of the vector is equal to 8.54.
It is not direct variation because direct variation has to include, the point is ( 0+0)