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:
130
Step-by-step explanation:
X is the alternate corresponding angle to 50. 50+y=180
y=130
x and y = the same thing so 130 is the value of x
Answer:
4/11 of 2 1/2 = 4/11 * 5/2 = 20 / 22 = 10/11
a common denominator of 11 and 4 is 44
So 40 / 44 - 33 / 44 = 7/44
Check 4/11 * 2.5 = .909
3/4 = .75
difference = .909 - .750 = .159
7/44 = .159
