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11-1-2024

Last updated about 1 year ago

8 Nsɛmmisa

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Word Problems

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Algebra

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Extrenous Solutions

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1.

What is the solution of the rational expression.

\frac{1}{x+4}=2

x=

\frac{1}{x-3}=5

x=

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2.

Arthur and Cheyenne can paint a wall in 6 hours working together. Cheyenne works twice as fast as Arthur. How long does it take Cheyenne to paint the wall if she is working alone.

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3.

(You try) It takes 12 hours to fill a pool with two pipes, where the water in one pipe flows three times as fast as the other pipe. How long will it take to the slower pipe to fill the pool by itself?

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4.

What is the solution of the equation \frac{1}{x-5}+\frac{x}{x+3}=\frac{2}{x^{2}-8x+15}

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5.

What is the solution of the equation \frac{1}{x-2}+\frac{1}{x+2}=\frac{2}{x^{2}-4}

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6.

\frac{5x}{x-2}=7+\frac{10}{x-2}

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7.

\frac{3}{x-3}=\frac{x}{x-3}-\frac{x}{4}

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8.

What are the solutions to the following equations

\frac{2x}{x-3}=x-\frac{6}{x-3}

\frac{x^{2}}{x+5}=\frac{25}{x+5}