Form: √(ax + b) = c
Conditions:
- ax + b ≥ 0 (expression under the radical is non-negative)
- c ≥ 0 (right side is non-negative)
Solution method: Square both sides
√(x + 1) = 3
Form: √(ax + b) = cx + d
Conditions:
- ax + b ≥ 0
- cx + d ≥ 0
Solution method: Square both sides and solve quadratic equation
√(x + 4) = x - 2
Left side: √(ax + b)
Right side: cx + d
Form: √(ax + b) + √(cx + d) = e
Conditions:
- ax + b ≥ 0
- cx + d ≥ 0
Solution method: Set conditions, rearrange and square
√(x + 1) + √(x - 1) = 2