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Softa [21]
3 years ago
10

What are the roots of this equation?

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
4 0

Answer:

x = 2 ± (i)√5  (Answer b)

Step-by-step explanation:

x²-4x+9=0 can be solved in a variety of ways; the first two that come to mind that are also appropriate are (1) completing the square and (2) using the quadratic formula.

Completing the square is fast here:

Rewrite x²-4x+9=0 as   x²-4x                    +9=0

Identify the coefficient of the x term:  it is -4

Take half of that, obtaining -2

Square this result, obtaining 4

Add 4 to   x²-4x                    +9=0, in the blank space in the middle, and then subtract 4:      x²-4x +4          -4         +9=0

Rewrite           x²-4x +4 as the square of a binomial:

                          (x - 2)² - 4 + 9  = 0  →    (x - 2)²  = -5

Take the square root of both sides:       x - 2  = ±√(-5)  =  ± (i)√5

Then x = 2 ± (i)√5

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Divide: (-7x+x^2+15)÷(-3+x)
kakasveta [241]
Since the divisor is in the form (x + #) or (x - #), This can be done by synthetic division.
First put the polynomial ion descending order: x^2 - 7x + 15
Take the coefficients of the terms and follow these steps:

3 |  1 -7  15
         3  -12
___________  Bring down the 1, multiply the 3 by the 1 and place under the
     1  -4    3       -7, then add.
                         Multiply 3 by -4, place under the 15, then add.
       The bottom row is our answer. Since the problem started with a second power, the answer will start with a first power.
The bottom row are the coefficients of the terms and the last number is the remainder.
x - 4 remainder 3 ALSO WRITTEN   x - 4 + 3/(x -3)
3 0
3 years ago
For a certain manufacturer, only ⅘ of the items produced are not defective.If 2,000 items are manufactured in a month, how many
a_sh-v [17]
To find the number of non-defective chips, we simply use this equation:
2,000 * 4/5
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1600
1600 chips aren't defective
4 0
3 years ago
??????????????????????????????
tamaranim1 [39]

Answer:

your picture doesnt show all the answers but it doesnt matter well just count it

surface area = (length x width) + (width x height) + (height x length) and the answer we times it by 2 (cuz they are 6 sides in a prism)

so 4 x 5 + 5 x 10 + 10 x 4 = 110

110 x 2 = 220in²

8 0
3 years ago
The radius of a circle is 18 inches. A snail crawls along the diameter of the circle at a rate of 3 inches per minute. How long
yuradex [85]

Answer:

12 minutes

Step-by-step explanation:

The radius is half the diameter, so 18*2 = 36 inches

The diameter is 36 inches.

Divide the diameter by the rate, 36/3 = 12 minutes

Your answer is 12 minutes

6 0
3 years ago
So this is for my geometry I'm trying to work on my review and I'm hoping that maybe one of you guys out here could help me with
alukav5142 [94]
Sorry it’s not that neat but I think the answer would be in the exact surd form root 233

7 0
3 years ago
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