Question

Which equation results from isolating a radical term and squaring both sides of the equation for the equation squareroot c-2 - squareroot c=5

Answer 1

Start by isolating one radical:
sqrt(c - 2) = sqrt(c) + 5.

Square both sides:
(c - 2) = (sqrt(c) + 5)^2 = c + 10 sqrt(c) + 25.

This simplifies to
-27 = 10 sqrt(c),
which has no real solution (right side ≥ 0 while left side = -27).