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den301095 [7]
2 years ago
15

Represents a coefficient from the expression given? 9x – 20 + x2

Mathematics
1 answer:
yanalaym [24]2 years ago
8 0

Answer:

(x -  \frac{ - 9 +  \sqrt{161} }{2} )(x -  \frac{ - 9 -  \sqrt{161} }{2} )

Step-by-step explanation:

1. \: a(x -  \frac{ - b +  \sqrt{ {b}^{2}  - 4ac} }{2a} ) \: (x -  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a})  \\ 2. \: (x -  \frac{ - 9 + \sqrt{ {9}^{2} - 4 \times  - 20 }  }{2} ) \: (x -  \frac{ - 9 -  \sqrt{ {9}^{2} - 4 \times  - 20 } }{2} )

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Step-by-step explanation:

14/15 - 2/3 =

14/15 and 2/3 lcm is 15

so 14/15 becomes 14/15

- 2/3 become 10/15

15÷5=3 and 10÷5=2

so 14/15

-10/15=4/15

14-10 = 4

answer is 4/15 and since 15 can't be divided by 4 equally it is in simplest form at 4/15

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Part A: Determine if the expression is one of our special products. If so, identify it by its general form:
kondaur [170]

Answer:

1.

Part A: Yes, it is (a - b)².

Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.

Part C: x² - 12x + 36.

2.

Part A: Not a special product.

Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.

Part C: x² + 9x + 8.

3.

Part A: Yes, it is (a + b)²

Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.

Part C: 9x² + 12x + 4.

4.

Part A: Yes, it is (a + b)(a - b), a difference of squares.

Part B: a² - b² => 4x² - 49

Part C: 4x² - 49

5.

Part A: Not a special product.

Part B: Binomial distribution => (x - 5)(2x - 5) = 2x² - 15x + 25.

Part C: 2x² - 15x + 25

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3 years ago
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