If x2 – 3x + 1 = 0, then find the value of x5 + 1/x5.
Suppose:
x2 = 17x + y y2 = x + 17y
If x ≠ y, what is √(x2 + y2 + 1) equal to?
Solve for all real numbers x such that
The line 2x – y + 1 = 0 intersects the curve x2 + 3y = 19 at the points A and B. The perpendicular bisector of AB intersects the x-axis at the point C. Find the area of triangle ABC.