All categories

3 years ago

Solve the quadratic equation x2+2x+3

Mathematics

2 answers:

Anastaziya [24]3 years ago

8 0

Answer:

-2+ sqrt(8)i or -2-sqrt(8)i

Step-by-step explanation:

adelina 88 [10]3 years ago

3 0

Answer:

$x=i\sqrt{2} -1, x=-i\sqrt{2}-1$

Step-by-step explanation:

Hoping the equation is $x^2+2x+3 = 0$

Rewrite so I can complete the square:

$x^2+2x=-3$

Take the square of half of 2 and square.

$x^2+2x+1=-2$

$(x+1)^2=-2$

$x + 1=\sqrt{-2}$

$x=i\sqrt{2} -1, x=-i\sqrt{2}-1$

You might be interested in

One month Tammy rented 2 movies and 6 video games for a total of $ 42 . The next month she rented 5 movies and 3 video games for

EastWind [94]

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

One month, Tammy rented 2 movies and 6 video games for a total of $42. This means that:

2m + 6v = 42 ________ (1)

The next month she rented 5 movies and 3 video games for a total of $30. This means that:

5m + 3v = 30 _________(2)

We now have two simultaneous equations:

2m + 6v = 42 ________ (1)

5m + 3v = 30 _________(2)

Multiply (2) by 2, and we have:

2m + 6v = 42 __________ (1)

10m + 6v = 60 _________ (3)

Subtract (1) from (3):

10m + 6v = 60

-<u> 2m + 6v = 42</u>

=> m = 18 / 8

m = $2.25

Put the value of m back in (1):

2(2.25) + 6v = 42

4.5 + 6v = 42

=> 6v = 42 - 4.5 = 37.5

v = 37.5 / 6

v = $6.25

Therefore, the rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

5 0

3 years ago

I NEED HELP WITH THIS MATH PROBLEM!!!!

Natalka [10]

Answer:

Step-by-step explanation:

6f - 1 + 7f - 8 = 6f + 7f - 1 - 8

= 13f - 9

Combine like terms. Like terms have same variable with same power.

6 0

2 years ago

Read 2 more answers

The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Solve for x. Round to

Black_prince [1.1K]

Length = x + 2 (because it is 2 cm more than x)
Width = 2x - 5 (5 cm lest than 2x)Area = 54 cm2 this is the formula to find the area Length × Width = Area (x + 2)(2x - 5) = 542x2 - x - 10 = 54 (this is you area)

Subtract 54 on both sides of equation to make the right side zero. 2x2 - x - 64 = 0 then use the quadratic formula x = (-b ± √(b2 - 4ac)) / 2a where:a = 2b = -1c = -64 Plug in these values into the formula. x = (1 ± √(1 - 4(-128))) / 4 x = (1 ± √(513)) / 4 x = (1 ± 22.65) / 4 x = (1 + 22.65) / 4 and x = (1 - 22.65) / 4 x = 5.91 and x = -5.41 Check the validity of the x values by adding them to the length and width. If the length or width should be a negative value, then that value of x is not acceptable. Now x = 5.91 Length = 5.91 + 2 (positive value.)Width = 2(5.91) - 5 ( positive value.) x = 5.91 If we look at this -- x = -5.41, Both length and width will be negative values. We reject this value of x. The answer is x = 5.91

Hope I helped and sorry it was really long

6 0

2 years ago

Read 2 more answers

Alien probe is stretched between the top and a stake in the ground the head of the state is at ground level the rope also touche

Aleksandr-060686 [28]

The building is about 20 to 21 feet tall.

6 0

2 years ago

A class has 6 boys and 15 girls. What is the ratio of boys to girls

Gnoma [55]

$the \ ratio \ is : \\ \\ boys \ to \ girls = 6:15= 2:5$