Solve x2 – 8x + 41 = 0 for x.

x=-4 (-+)square root of 37i
x = –4 ± 5i

x=4(-+) square root of 37i
x = 4 ± 5i

The equation is quadratic equation that requires finding discriminant

Since discriminant is negative, this equation has two complex roots. Note that where is imaginary unit. Then

Now the complex roots are

correct choice is D.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x