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Sholpan [36]
3 years ago
15

Quadratic equations w complex roots x2 - 6x + 12 = 0

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer:

x = 3 ± i \sqrt{3}

Step-by-step explanation:

Given

x² - 6x + 12 = 0 ( subtract 12 from both sides )

x² - 6x = - 12

Using the method of completing the square

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

x² + 2(- 3)x + 9 = - 12 + 9

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

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

x = 3 ± i \sqrt{3}

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Find the coordinates of the midpoint of line segment AB. A (4, 7) and B (-6, 6)
BabaBlast [244]
The coordinates of the midpoint of line segment AB:

A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)

A(4;\ 7);\ B(-6;\ 6)

subtitute

\left(\dfrac{4+(-6)}{2};\ \dfrac{7+6}{2}\right)=\left(\dfrac{-2}{2};\ \dfrac{13}{2}\right)=\boxed{(-1;\ 6.5)}
3 0
3 years ago
I need help and please ahow your work
dusya [7]
There ya go! Hope this helped

7 0
4 years ago
The grades for class are as follows: 10 A's, 8 B's, 6 C's, 5 D's What percent received an A? (round to the nearest whole )
boyakko [2]

Answer:

34.5

Step-by-step explanation:

Add up all the numbers. 10+8+6+5=29. Then divide 29 by 100. Then multiply 10x What you got from 100/29. Sorry if thats confusing hope that helps!

5 0
3 years ago
What value of X makes this equation true -90 equals -100+ X
raketka [301]

-90 = -100 + x

To solve for X, you need to isolate it ( get it by itself).

Add 100 to each side:

-90 + 100 = -100 + x + 100

Simplify:

10 = x

X = 10

7 0
3 years ago
Simplify. 8m+4n+7m−2n What is the answerWhich expression shows the result of applying the distributive property to 3(2x−6) ?
Alexandra [31]

Answer:

  1. 15+2n
  2. 6(x-3)

Step-by-step explanation:

  1. 8m+4n+7n-2n
  2. 8m+7n+4n-2n
  3. 15n+2n
  1. 3(2x-6)
  2. 3 multipied by 2x and 6= 6x-18
  3. The GCF(greatest common factor)is 6
  4. 6x divided by 6 is x and 18 divided by 6 is 3

so the GCF goes outside the parenthesis and the numbers you got after you divided goes inside. 6(x-3)

Hope this helps!

6 0
3 years ago
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