Solving Radical Equations Without Extraneous

Solve:

• 1

• 43

• 8

• 55

Solve the radical equation

• 25

• 50

• 125

• 5

Solve

• -5

• -4

• 4

• -5, 4

Solve:

• -4

• 0, -4

• 4

• 0, 4

what is the fourth step of Radical Equations

• Solve the remaining equation

• Raise each side of the equation to the power of the index

• Isolate the radical on one side of equations

• Check for extraneous solutions

Mathematical Equivalence

ON

Solve for x; identify extraneous solutions (if any).

• x = 17

• x = 5

• x = 3

• no solution; x = 5 is extraneous

solve for x:

Mathematical Equivalence

ON

Name the extraneous solution(s) for this equation.

• 3

• -3 and -4

• 4

• -4

• -6

• 6

• -5

• 5