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devlian [24]
3 years ago
10

3/x+2 = 2/x−1 pleasee help

Mathematics
1 answer:
olga_2 [115]3 years ago
7 0
So you have:
\frac{3}{x} + 2  =  \frac{2}{x} - 1


1) Start off by multiplying both sides by x to simplify the problem:
\frac{3}{x} + 2 = \frac{2}{x} - 1 \\
x(\frac{3}{x} + 2) = (\frac{2}{x} - 1)x\\
3 + 2x = 2 - x


2) Now isolate the x by moving all terms with x onto one side and all other terms onto the other side:
3 + 2x = 2 - x\\
3x = -1

3) Finally, divide by 3 on both sides to find the value of x:
3x = -1\\
x =  \frac{-1}{3}

------

Answer: x = \frac{-1}{3}
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Option A

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Given expression:

  • 3x² - 10x - 8

<u>Option A</u>

⇒ (x - 4)(3x + 2)

⇒ (x × 3x) + (2 × x) + (-4 × 3x) + (-4 × 2)

⇒ (3x²) + (2x) + (-12x) + (-8)

⇒ 3x² + 2x - 12x - 8

⇒ 3x² - 10x - 8

3x² - 10x - 8 = 3x² - 10x - 8 (Yes!)

<u>Option B</u>

⇒ (3x - 4)(x - 2)

⇒ (3x × x) + (3x × -2) + (-4 × x) + (-4 × -2)

⇒ (3x²) + (-6x) + (-4x) + (8)

⇒ 3x² - 6x - 4x + (8)

⇒ 3x² - 10x + 8

3x² - 10x - 8 = 3x² - 10x + 8 (No!)

<u>Option C</u>

⇒ (3x - 4)(x + 2)

⇒ (3x × x) + (3x × 2) + (-4 × x) + (-4 × 2)

⇒ (3x²) + (6x) + (-4x) + (-8)

⇒ 3x² + 6x - 4x - 8

⇒ 3x² + 2x - 8

3x² - 10x - 8 = 3x² + 2x - 8 (No!)

<u>Option D</u>

⇒ (3x - 2)(x - 4)

⇒ (3x × x) + (3x × -4) + (-2 × x) + (-2 × -4)

⇒ (3x²) + (-12x) + (-2x) + (8)

⇒ 3x² - 12x - 2x + 8

⇒ 3x² - 14x + 8

3x² - 10x - 8 = 3x² - 14x + 8 (No!)

Since the expression of option A has the same value as the given expression, option A is correct.

5 0
2 years ago
Read 2 more answers
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