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Hatshy [7]
3 years ago
6

Solve x^2-4x+5=0 by completing the square

Mathematics
1 answer:
kirill115 [55]3 years ago
5 0

Answer:

x = 2 ± i

Step-by-step explanation:

1.  Identify the coefficient of x.  Here that coefficient is -4.

2. Take half of this coefficient, obtaining -2.

3.  Square this result, obtaining 4

4.  Now add 4 to both sides of the given equation:

     x^2 - 4x + 4 + 5 = 4

5.  Rewrite the perfect square x^2 - 4x + 4 as the binomial (x - 2)^2:

      (x - 2)^2 = -1

6. Take the square root of both sides:

        x - 2 = ±√(-1) = ±i

7.  Solve for x:    x = 2 ±i

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Harmony used discarded paper to make notepads for her friends. She would fold five letter size pieces of paper three times then
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First fold of a piece of paper produces two smaller pieces of paper
Second fold of the resulting pieces of paper produces 4 smaller pieces of paper.
Third fold of the resulting pieces of paper produces 8 smaller pieces of paper.

Thus, the five letter size pieces of paper folded three times produces 8 x 5 = 40 notes.

Thus, one notepad consists of 40 notes.

If someone wrote ten notes per day, then one notepad will last for 4 days.
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4 years ago
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3 years ago
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A point with coordinates (a, b) is plotted on a coordinated plane. The values of a and b can be any positive or negative integer
Diano4ka-milaya [45]

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8 0
3 years ago
Mira bought $500 of Freerange Wireless stock in January of 1998. The value of the stock is expected to
Alexus [3.1K]

Answer:

2002

Step-by-step explanation:

The main topic of the question is compound interest.

If the percentage increase is 7.5%. Then the decimal multiplier would be 1.075. The 1 in front of the decimal represents the increase. 7.5 in decimal form is 0.075, so we just add the two together to get our decimal multiplier.

Now we do trial and error to see when we reach $700. After we get at least $700, we count how many times we multiplied $500 by the decimal multiplier and onwards to figure out the number of years it took and then add that to 1997. We add it to 1997 because the cost of the Freerange Wireless stock must have also been $500 at the end of 1997. The beginning of 1998 is the same as the end of 1997.

1) 500 x 1.075 = $537.50

2) 537.50 x 1.075 = $577.81

3) 577.81 x 1.075 = $621.15

4) 621.15 x 1.075 = $667.74

5) 667.74 x 1.075 = $717.8205

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The value of Mira's stock will reach $700 by the end of 2002 because if we know that she used $500 at the beginning of 1998, that also means the cost of the Freerange Wireless stock was $500 at the end of 1997.

I hope this helps.

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4 years ago
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