If an oatmeal serving consists of three-quarters of a cup, and there are four servings in a box, how many cups are there in one box of oatmeal?

3 cups

Step-by-step explanation:

3/4 x 4/1  = 12/4 simplified to make the denominato to be a 1 so you divide both the numerator, which is 12, and the denominator, which is 4, by 4 so you end up with 3/1 which is 3 cups.

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0