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aliina [53]
3 years ago
8

Pls solve last question pls pls

Mathematics
2 answers:
Alex777 [14]3 years ago
5 0

Answer:

i don't know how to work this

gavmur [86]3 years ago
5 0

Answer:

x = \frac{3}{4} , x = 20

Step-by-step explanation:

2(\frac{3x-5}{x+2} ) - 5 (\frac{x+2}{3x-5} ) = 3

Multiply through by (x + 2)(3x - 5) to eliminate the fractions

2(3x - 5)² - 5(x + 2)² = 3(x + 2)(3x - 5) ← expand factors on both sides

2(9x² - 30x + 25) - 5(x² + 4x + 4) = 3(3x² + x - 10) ← distribute parenthesis

18x² - 60x + 50 - 5x² - 20x - 20 = 9x² + 3x - 30 ← simplify left side

13x² - 80x + 30  = 9x² + 3x - 30 ( subtract 9x² + 3x - 30 from both sides )

4x² - 83x + 60 = 0 factor by splitting the x- term

4x² - 80x - 3x + 60 = 0

4x(x - 20) - 3(x - 20) = 0

(4x - 3)(x - 20) = 0

Equate each factor to zero and solve for x

4x - 3 = 0 ⇒ 4x = 3 ⇒ x = \frac{3}{4}

x - 20 = 0 ⇒ x = 20

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