1. Squaring a value and finding its square root is the opposite
Lesson 10.3
EQ: How do you solve a radical equations?
Objective: To solve Radical equations
Squaring a value and finding its square root is the opposite
EX:
Square both sides
EX:
– 3 – 3
Subtract 3
x = 49

2. EX: – 2 – 2 check X = 23 EX: – 3 – 3 X = 13 check + 4 + 4
Square both sides
– 2 – 2
check
X = 23
EX:
Subtract 3
– 3 – 3
Square both sides
X = 13
check

3. Check both answers for extraneous solutions
Square both sides
EX: Solve for x
Simplify
Write in standard form
– x – – x – 2
Factor
0 = (x + 1)(x – 2)
Solve for x
x = –1 and x = 2
Check both answers for extraneous solutions
X = 2
only
Yes

4. Solving with radicals on both sides.
8x – 7 = 6x + 7
2x = 14
X = 7

5. Cube Root Equation
2x + 9 = -27
2x = -36
X = -18