Step-by-step explanation:
f(x) = x² + x + 3/4
in general, such a quadratic function is defined as
f(x) = a×x² + b×x + c
the solution for finding the values of x where a quadratic function value is 0 (there are as many solutions as the highest exponent of x, so 2 here in our case)
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 1
c = 3/4
x = (-1 ± sqrt(1² - 4×1×3/4))/(2×1) =
= (-1 ± sqrt(1 - 3))/2 = (-1 ± sqrt(-2))/2 =
= (-1 ± sqrt(2)i)/2
x1 = (-1 + sqrt(2)i) / 2
x2 = (-1 - sqrt(2)i) / 2
remember, i = sqrt(-1)
f(x) has no 0 results for x = real numbers.
for the solution we need to use imaginary numbers.
Answer:
minimum value of function is 
.
Step-by-step explanation:
Given function represents a parabola.
Now, here coefficient of 
is positive , so the parabola will be facing upwards and thus the function will be having a minimum.
Now, as we know that minimum value of a parabolic function occurs at
x = 
.
Where , b represents the coefficient of x and a represents the coefficient of .
here, a = 2 , b = -6
Thus = 
= 
So, at x = minimum value will occur and which equals
y = 2×
- 
+ 9 = .
Thus , minimum value of function is .
Mentally, they are numbers in which you can do mental math with since they are whole numbers
The answer is -52 so it would be C
648.566 Km is the answer. :)
