When circle P is plotted on a coordinate plane, the equation of the diameter that passes through point Q on the circle is y = 4x + 2. Which statement describes the equation of a line that is tangent to circle P at point Q? A.
The slope of the tangent line is 1/4.
B.
The slope of the tangent line is -4.
C.
The slope of the tangent line is -1/4.
D.
The slope of the tangent line is 4.

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

answer is 1

step-by-step explanation:

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