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balu736 [363]
3 years ago
10

Difference of Squares gives which complex factors for the expression x2 +3?

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

            = x² + [-(i)²√(13)²]  [Since i = √(-1)]

            = x² - (i√13)²

            = (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-

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Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x)
DIA [1.3K]

Answer:

x - 11

Step-by-step explanation:

Let f(x) = -5x - 4 and g(x) = 6x - 7.

f(x) + g(x)

I like to line them up vertically

-5x - 4

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8 0
3 years ago
2x − 5y = 16 <br>3x + 2y = 5 <br>can you also explain how you did it. Thanks :)
Reptile [31]

Answer:

x=3

y=-2

Step-by-step explanation:

2x - 5y = 16

3x + 2y = 5

Solve for x in the first equation.

2x - 5y = 16

2x = 16 + 5y

x = (16 + 5y)/2

x = 8 + 5/2y

Put x as 8 + 5/2y in the second equation and solve for y.

3(8+5/2y) + 2y = 5

24+15/2y + 2y = 5

24 + 19/2y = 5

19/2y = 5-24

19/2y = -19

y = -2

Put y as -2 in the first equation and solve for x.

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6 0
3 years ago
Read 2 more answers
An estate of $613,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive
Assoli18 [71]

Answer:

Eldest: $298500

Middle: $165250

Youngest: $149250

Explanation:

We can show the siblings like this:

e=2y                  (eldest)

m=16000+y       (middle)

To find the value of y, or the youngest sibling, we use an equation.

2y+16000+y+y=613000

Simplify:

4y+16000=613000

Subtract 16000 on both sides:

4y=597000

Divide both sides by 4:

y=149250

The youngest received $149250.

Knowing this, we can plug in the numbers into the original formulas:

e=2(149250)=298500                 ...or $298500

m=16000+149250=165250         ...or $165250

y=149250                                      ...or $149250

Add all those numbers up, and you reach $613000.

7 0
3 years ago
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