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# Solving Rational Equations (Grades 11-12)

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## Solving Rational Equations

Instructions: While solving each of the following rational equations, watch for extraneous solutions.

1.
Solve. $(4)/(x+3)+5/6=23/18$

2.
Solve. $x/(x-2) - 8/(x^2-4) = 0$

3.
Solve. $(6x)/(3x-1)=(4x)/(2x+5)$

4.
Solve. $(x-1)/(x-2) + 3/(x+2) = (x+2)/(x^2-4)$

5.
Solve. $x/(x-3) = 5/(x^2-6x+9)$

6.
Solve. $6/(x^2-2x) = 1/(x^2-4)$

7.
Solve. $3/(x+2)+5/(x-4) = -2/(x-3)$

8.
Solve. $(4x) / (2x^2 - 8) +4/(x-2) = (2x+9)/(x^2-4)$

9.
Solve. $(3x+2)/4-(4x-5)/(8x) = 4/x$

10.
Solve. $(2x)/(x+5)-(x^2-x-10)/(x^2+8x+15)=3/(x+3)$

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