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AVprozaik [17]
3 years ago
9

What multiplies to -1 and adds to 2

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0
    xy = -1
x + y = 2

  x + y = -2
- x         - x
        y = -x - 2

                           xy = -1
                  x(-x + 2) = -1
              x(-x) + x(2) = -1
                   -x² + 2x = -1
                         + 1   + 1
-x² + 2x + 1 = 0
-1(x²) - 1(-2x) - 1(-1) = 0
           -1(x² - 2x - 1) = 0
                     -1           -1
                x² - 2x - 1 = 0
x = -(-2) ± √((-2)² - 4(1)(-1))
                      2(1)
x = 2 ± √(4 - 4(-1))
                2
x = 2 ± √(4 + 4)
              2
x = 2 ± √(8)
           2
x = 2 ± 2√(2)
           2
x = 1 ± √(2)

               x + y = 2
  (1 ± √(2)) + y = 2
- (1 ± √(2))       - (1 ± √(2))
                     y = 1 ± √(2)
               (x, y) = (1 ± √(2), 1 ± √(2))

The numbers that multiply to -1 and add to 2 are 1 ± √(2).
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When c=3 and d=7<br> 21c + 2d - |-11|d
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Answer:

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Step-by-step explanation:

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8 0
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Is the expression 3x+2 a binomial?
Wewaii [24]

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7 0
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There are 24 students in a class. if 16 are boys, what fraction of the students are boys?
pshichka [43]

Answer:

2/3 is the fraction of students who are boys.

Step-by-step explanation:

First of all, a fraction consists of two parts: The denominator and the numerator. The denominator is the whole, while the number is a part of the whole (and sometimes above).

1. Since in your question, there are 24 students in total in the class, the denominator will be 24.

2. You said that 16 of them are boys, so 16 is the numerator.

3. In a fraction, it will be 16/24.

4. 16/24 can be simplified into 2/3 since both 16 and 24 can be divided by 8.

So our final answer is 2/3.

3 0
1 year ago
Find the value of the following expression 100 - 2(x + 5) when x = 10 *
Ede4ka [16]

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Step-by-step explanation:

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4 0
2 years ago
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What is the answer to this question?
saul85 [17]
B is the correct answer
8 0
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