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Margarita [4]
2 years ago
14

Solve for x -

id="TexFormula1" title="\bold{x {}^{2} + 5x + 6 = 0}\\\\" alt="\bold{x {}^{2} + 5x + 6 = 0}\\\\" align="absmiddle" class="latex-formula">
ty! ~
​
Mathematics
1 answer:
Fed [463]2 years ago
3 0

The solution of the given quadratic equation is x=-2 or x=-3.

The given quadratic equation is x²+5x+6=0.

<h3>What are different methods to solve a quadratic equation?</h3>

The different methods of solving quadratic equations are factoring, completing the square or using the quadratic formula.

By using the splitting middle term method we can solve x²+5x+6=0.

That is, x²+2x+3x+6=0

⇒x(x+2)+3(x+2)=0

⇒(x+2)(x+3)=0

⇒(x+2)=0, (x+3)=0

⇒x=-2 or x=-3.

Therefore, the solution of the given quadratic equation is x=-2 or x=-3.

To learn more about the quadratic equation visit:

brainly.com/question/2263981.

#SPJ1

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What is the solution to the system that is created by the equation y=-x+6 and the graph shown below?
mina [271]
The graph graphed is y=1/2x

so
y=1/2x and y=-x+6
y=y so
1/2x=-x+6
times 2 both sides
x=-2x+12
add 2x both sides
3x=12
x=4

sub back
y=1/2x
y=1/2(4)
y=2

(4,2) is the solution
3 0
3 years ago
Read 2 more answers
The Rumpart family is building a new room onto their house. The width of the new room will be 16 feet. The length of the room wi
QveST [7]

Answer:

\text{The length of new room}=16.64\text{ feet}

\text{Area of the new room}=266.24\text{ feet}^2

Step-by-step explanation:

We have been given that the Rumpart family is building a new room onto their house. The width of the new room will be 16 feet.

The length of the room will be 4% greater than the width. This means that length of new room will be 16 feet plus 4% of 16.

\text{The length of new room}=16+(\frac{4}{100}*16)

\text{The length of new room}=16+(0.04*16)

\text{The length of new room}=16+0.64

\text{The length of new room}=16.64

Therefore, the expression 16+(0.04*16) represents the length of new room and the length of new room is 16.64 feet.

Since we know that area of a rectangular shape is width times length.

\text{Area of rectangle}=\text{Length*Width}

\text{Area of the new room}=16\text{ feet}\times 16.64\text{ feet}

\text{Area of the new room}=266.24\text{ feet}^2

Therefore, the area of the new room will be 266.24 square feet.

5 0
3 years ago
PLEASE HELP ME
Anon25 [30]

equivalent to 5/24 is 15/72 (multiply top and bottom by 3)

answer is d. 15/72

7 0
3 years ago
Read 2 more answers
T - 19 = 17 what is t
coldgirl [10]
To answer you need to isolate T so you add 19 to both sides. so T = 36

Hope that helped! If you don't get it message me and I can try to re explain :)

3 0
3 years ago
Read 2 more answers
On a certain French-American committee, 2/3 of the members are men, and 3/8 of the men are Americans. If 3/5 of the committee me
Juli2301 [7.4K]

Answer:

3/20

Step-by-step explanation:

Number of American Men: (2/3)(3/8) = 1/4

Number of American Women: 1 - (3/5) - (1/4) = 3/20 of the members are American women.

8 0
3 years ago
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