What is the diameter of the circle shown?

Step-by-step explanation:

in

Step-by-step explanation:

this triangle is a right isosceles triangle. this means it is also a 45- 45- 90 triangle.

there is a special relation between the sides of a 45 45 90 triangle :

if the legs are 'x' then the hypotenuse is  ''

so in this case, the legs are 6 in. the hypotenuse (or diameter of the circle) is

i believe it's a.

i'm not sure on this one, most likely correct.

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