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:
16
Step-by-step explanation:
Given the equation, 
, let's solve for x as follows,
Subtract 200 from both sides
Subtract 15x from both sides
Divide both sides by -5
-⅔ (6x + 9) = 18
Apply distributive property. Multipy -⅔ to 6x and 9.
-4x - 6 = 18
Add 6 to both sides so -4x can be alone.
-4x - 6 + 6 = 18 + 6
-4x = 24
To get x alone, divide both sides by -4.
-4/-4x = 24/-4
x = -6
x = -6 is your answer. I hope this helps! Let me know if you need more help or if I got something wrong.
37.5 gallons of milk, you welcome.
Answer:In The Social Contract (1762) Rousseau argues that laws are binding only when they are supported by the general will of the people. His famous idea, 'man is born free, but he is everywhere in chains' challenged the traditional order of society.
Step-by-step explanation:
In The Social Contract (1762) Rousseau argues that laws are binding only when they are supported by the general will of the people. His famous idea, 'man is born free, but he is everywhere in chains' challenged the traditional order of society.
