A client of Susan's has asked her to create a new wood floor for his living room by laying wood strips
in different directions, as shown on the coordinate
grid. Determine whether Quadrilateral ABCD is best
described as a trapezoid, a rhombus, a rectangle, or
a square. Explain your reasoning.

2 5/8 is the final answer! : )

john earns $14.00 for two hours of work.

126 maybe. sorry

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