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Marina86 [1]
3 years ago
11

Use the method of completing the square to solve x2 - 6x + 1 = 0. Simplify your solutions.

Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer:

x = 3 ± 2\sqrt{2}

Step-by-step explanation:

given

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

To complete the square

add (half the coefficient of the x- term)² to both sides

x² - 6x + (- 3)² = - 1 + (- 3)²

x² - 6x + 9 = - 1 + 9

(x - 3)² = 8 ( take the square root of both sides )

x - 3 = ± \sqrt{8} = ± 2\sqrt{2} ( add 3 to both sides )

x = 3 ± 2\sqrt{2}

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6 0
3 years ago
Help please thanks :)
Galina-37 [17]

Answer:

270        anticlockwise

-90         clockwise

-450       clockwise

Step-by-step explanation:

The answer, going clockwise is -90. One leg of the angle is on the +x axis and the other is going down from the origin. The only other answer is 270 degrees. That angle is starting at the + x axis and goes anticlockwise. It has to travel to the dividing line between the 3rd and 4th quad.

-450 also works. Starting at 0 and going -360 clockwise leads you right back to the +x axis. -450 -(-360) leaves you  with -90. Minus 90 degrees puts you on the line between the 3rd and 4th quadrant which is the same place 270 and - 90 will land.

Everything else takes you other places. 450 for example is the +y axis and that is related to 90 degrees not - 90.

3 0
3 years ago
write an equation of the line that passes through -3,0 and has a slope of 6 put your answer in standard form
Alinara [238K]

Answer:

y=-9

Step-by-step explanation:

slope intercept form: y=mx+b, m being the slope

y=6 times -3

since there isn't a y intercept, you can't really put it in standard form unless I missed a step.

y= -9

4 0
3 years ago
Find the value of x so that the line passing through (10, 5) and (x, 9) has a slope of -2.
Verdich [7]
Ok, so here, we need to use the slope formula which is:

(y2 - y1)/(x2-x1)

y2 = 9
y1 = 5

x2 = x
x1 = 10

So:

(9-5)/(x-10) = -2

Now, we just solve for x,

9-5  =  -2(x-10)

4  =  -2x+20

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x  =  8
4 0
4 years ago
Read 2 more answers
12 (x+1/6) = 8 20 points
Aliun [14]

Answer:

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Step-by-step explanation:

12 is multiplyed by both the x and the (1/6) since it is outside the equation.

so 12 times x = 12x since we dont know what x is

and 12 times (1/6) = (12/6) = 2

7 0
3 years ago
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