Expert answer:Math HW Rational Expressions

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Expert answer:Please show all work for full credit and box final solutions. Leave all answers in exact form, do not round unless specified.
math025_labvii_rational_equations_fa17__1_.pdf

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Math 022 – Tasy
Name: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Lab VII – Rational Equations
Please show all work for full credit and box final solutions. Leave all answers in exact form – do not round unless specified.
1. (1 pts each) Find the least common multiple for the following.
(b) x 2 + 4x + 4, x 2 − 4
(a) 14x 3 ,35x 4
2. (2 pts each) Perform the following operation.
(a)
(c)
x
x +x
2
x+3
x + 10
+
−
x−4
x −1
2
3x − 5
x + 10
(b)
2x + 5
⋅
x − 6x + 5
2
(d)
x −1
x + 4x − 5 2x + 5
2
x − 25
2
÷
x −1
x+5
Math 025 – Tasy
3. (2 pts) Solve
1
x+2
−
1
x−2
=
4
3
graphically. Sketch the graph and clearly state any solutions.
4. (4 pts each) Solve each equation and check for any extraneous solutions.
(a)
(b)
−1
2x + 5
=
x
3
1
1
6
+
=
x − 2 x + 2 x2 − 4
…
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