Solving Absolute Value Equations, Rational Exponents and Radicals

What is the first step to solving Radical Equations?

• Check for extraneous solutions.

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

• Isolate the radical on one side of equations.

• Solve the remaining equation.

• Convert from radical form to rational exponent form

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5

• x = 0 and x = -5

• x = 10 and x = -10

• No Solution

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

• 9/5

• 17

• 17/5

• 5

Solve.

• -14

• 14

• no solution

• 28

• 35/3
• 35
• 3
• 7/3

• 16
• 4
• 508/3
• 116/9

• A
• B
• C
• D

Solve the equation.

• 25

• -29

• -3

• 3

• 9^2/3