he has now walked a total of what?
if i know what this is maybe i can
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.
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
answer: (-8,4) are the coordinates of a
let the side of square abcd is x .
thus the area of square abcd is .
now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x
( because ad is the side of square)
and, according to the question,
the areas of square abcd and right ead are equal.
thus, ea: ab=2: 1
therefore, point a divides line segment eb into the ratio 2: 1.
⇒ by sectional formula coordinates of a are,
thus the coordinates of a are (-8,4)