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elixir [45]
3 years ago
10

Solve the following rational equation plz help!!

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:

x = \frac{9}{4}

Step-by-step explanation:

Given

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x^2+x} ← factor denominator

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x(x+1)}

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = \frac{9}{4}

However, x ≠ - 1 for reason given above, then

solution is x = \frac{9}{4}

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Answer:

P(Green\ or\ Red) = 0.30

Step-by-step explanation:

Given

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Green = 24

Red = 12

Yellow = 24

Blue = 20

Required

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3 years ago
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Answer:

1 thus b: is the Answer

Step-by-step explanation:

Simplify the following:

(3 (15 + 4)^2 + 2 (20 + 5)^2)^0

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Answer:  1

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