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olga_2 [115]
3 years ago
12

Use the quadratic formula to solve for the roots of the following equation. x2 - 4x + 13 = 0

Mathematics
2 answers:
matrenka [14]3 years ago
7 0

The roots are 2+3i and 2-3i

Step-by-step explanation:

  • Step 1: Given equation is x² - 4x + 13 = 0. Here a = 1, b = -4, c = 13. Use the quadratic formula to find the roots.

x = (-b ±√b²-4ac)/2a

⇒ x = (4±√16 - 4×1×13)/2

⇒ x = (4 ± √-36)2

⇒ x = 4 ±6i/2 = 2 + 3i, 2 - 3i

dimaraw [331]3 years ago
3 0

Answer:

No solution in R (if you consider complex numbers then the other answer is correct)

Step-by-step explanation:

quadratic formula:

x1 = \frac{-b + \sqrt{b^2 - 4ac} }{2a}

x2 = \frac{-b - \sqrt{b^2 - 4ac} }{2a}

​calculate the discriminant b²-4ac first

(-4)² - 4*13 = 16 - 52 = - 36

square root of a negative number does not exist in R and a discriminant < 0 indicates no solutions in R

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Pls help I have doubts
azamat

Answer:

B

Step-by-step explanation:

See when you multiply 3 x 4 or 4 x 3 the answer is the same (is equivalent)

Similarly, -3 x 3 x -4/9 or 3 x -3 x 4/9 is equivalent

Therefore option(B)

6 0
3 years ago
Read 2 more answers
You are baking brownies for your class. There are 28 total students in your class and you have baked 23 brownies. Write and solv
barxatty [35]

Answer:

2(28)=23+x

Step-by-step explanation:

There are 28 students and each student needs two brownies. You have to multiply 28 by 2 so you will have to total number on one side.

On the other you need to have the number of brownies you have at the moment and x for the number you need to bake. You want to add them because you will need to put those numbers together to get the number on the opposite side.

28x2=56 so 56=23+x. Subtract the 23 from both sides to get 33=x. x=33

To check plug 33 into x to get 2(28)=23+33. 56=23+33. 56=56

you need 33 more brownies.

So the equation would be 2(28)=23+x.

Hope that helps.

3 0
3 years ago
A scale model of a city has scale of 1 cm : 4.5 km. Two buildings in the model are 1.9 cm apart. To the nearest tenth of a kilom
IRINA_888 [86]
\bf \stackrel{cm}{1}~:~\stackrel{km}{4.5}\qquad \cfrac{1}{4.5}\qquad \qquad \cfrac{\stackrel{model}{1.9}}{\stackrel{actual}{x}}=\cfrac{1}{4.5}\implies \cfrac{1.9\cdot 4.5}{1}=x
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=y%20%3D%203x%20-%202%20%5C%5C%20y%20-%202%20%3D%20x" id="TexFormula1" title="y = 3x - 2 \\ y -
aleksley [76]

Answer:

The solution to the system of equations be:

x = 2, y = 4

Step-by-step explanation:

Given the system of equation

y - 2 = x

y = 3x - 2

substitute y = 3x - 2 in the equation y - 2 = x

y - 2 = x

(3x - 2) - 2 = x

3x -2 -2 = x

3x - 4 = x

add 4 from both sides

3x - 4 + 4 = x + 4

3x = x + 4

subtract x from both sides

3x - x = x + 4 - x

3x - x = 4

2x = 4

divide both sides by 2

2x/2 = 4/2

x = 2

For y = 3x - 2, plug in x = 2

y = 3x - 2

y = 3(2) - 2

y = 6 - 2

y = 4

Therefore, the solution to the system of equations be:

x = 2, y = 4

7 0
3 years ago
What unit would you USE
neonofarm [45]

Answer:

1. Mile

2. Foot

3. Yard

4. Inch

7 0
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