Algebra 2 Semester 1 Final Exam: Chapter 6.5

solve and check for extraneous solutions: √(13x - 10) = 3x

no real solution

solve and check for extraneous solutions: (7x)^1/3 = (5x + 2)^1/3

x = 1

solve and check for extraneous solutions: √(10x) - 2√(5x - 25) = 0

x = 10

solve and check for extraneous solutions: √(x-2) - √(2x + 3) = -2

x = 11 and x = 3

solve and check for extraneous solutions: (4x - 12)^1/2 + 3 = x

x = 3 and x = 7

solve and check for extraneous solutions: √(x + 20) = x

x = 5