Answer:
Step-by-step explanation:
x^2 - 2x - 35 = 0
Solve for x over the real numbers:
x^2 - 2 x - 35 = 0
Add 35 to both sides:
x^2 - 2 x = 35
Add 1 to both sides:
x^2 - 2 x + 1 = 36
Write the left hand side as a square:
(x - 1)^2 = 36
Take the square root of both sides:
x - 1 = 6 or x - 1 = -6
Add 1 to both sides:
x = 7 or x - 1 = -6
Add 1 to both sides:
Answer: x = 7 or x = -5 as for the vertex plane curve | Cartesian equation x^2 - 2 x - 35 = 0 | vertex (not a possible affine variety)
