MAZZEO
ALGERBA2
Period__Date__/__/__Name________________________________________________
9.2
When and why do extraneous solutions arise?
WARM UP
Come up with a common denominator for the following fractions:
𝑥−7
𝑥+9
3𝑥
5𝑥−1
2𝑥−6
4+𝑥
5
c)
+
a) +
b)
−
+ 2
5
12
3𝑥
9
𝑥−4
6𝑥
Independent Practice; SOLVE AND CHECK
1) Find all values of x:
2) Find all values of x:
Mini-Lesson; Check your solutions
Why do extraneous solutions arise? Look back at our work.
Group Work; Rational Equations
1) Solve for all values of x:
2) Solve for all values of x:
𝑥+1
3) Solve for all values of x:
4) Solve for all values of x:
5) Solve for all values of x:
3 1
1
1


 2
4 2 x 2 x 3x
Radical Equations
1) Solve for all values of x:
2) Solve for all values of x:
3) Solve for all values of x:
4) Solve for all values of x:
5) Solve for all values of x: