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lord [1]
3 years ago
5

Solve x^2 + 5x + 6 = 0​

Mathematics
2 answers:
boyakko [2]3 years ago
8 0

Answer:

  x = -2 or -3

Step-by-step explanation:

The given equation can be factored:

  (x +2)(x +3) = 0

The solutions are the values of x that make the factors be zero.

  x + 2 = 0   ⇒   x = -2

  x + 3 = 0   ⇒   x = -3

The solutions are x=-2 or -3.

_____

The product (x +a)(x +b) is ...

  (x +a)(x +b) = x^2 +(a+b)x + ab

Comparing this to the above equation, we see that the product of 'a' and 'b' must be 6, and their sum must be 5. When we look at the factors of 6, we find a couple of choices. The correct one is easy to see.

  6 = 1×6 = 2×3

The sums of factors are 1+6=7 and 2+3=5, so it is the latter pair that is of interest. It does not matter which we call 'a' and which we call 'b'. Once we find two numbers whose sum is 5 and product is 6, we can fill in the binomial factors:

  x^2 +5x +6 = (x +2)(x +3) = 0

grigory [225]3 years ago
4 0

Answer:

(x+3)(x+2)

Step-by-step explanation:

take x^2 and take it apart. so it should be (x+  ) (x+  ) then take 6 and make it so it's multipuls equal 5. ur answer should be (x+3)(x+2) or vice versa.

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Two sides of a triangle measure 5in. And 12in. Which could be the length of the third side ?
AleksAgata [21]

Answer:

10

Step-by-step explanation:

I am pretty sure this is the answer because, the two sides added have to be greater than the longest side.

8 0
3 years ago
The area of a pizza is 113 square inches. What would the radius have to be to make that statement true?​
gtnhenbr [62]

Answer:

6 in.

Step-by-step explanation:

A = r^2\pi

R = \sqrt{\frac{A}{\pi } }

R = \sqrt{\frac{113}{\pi } }

R = \sqrt{36}

R = 6

4 0
3 years ago
The mean and standard deviation of a normal distribution are 150 and 12 respectively. What percentage of values lie between:
Semenov [28]

Answer:

Step-by-step explanation:

Use a calculator with built-in statistical functions.  The function applying here is normcdf(, the "cumulative density function."  

(a) The percentage of values lying between 138 and 162 is

norm(138,162, 150, 12), which comes out to 0.683, or 68.3%.

(b)  Find norm(126, 174, 150,12):  0.945, or 94.5%

(c)  Find norm(126,162, 150,12);  0.819, or 81.9%

(d) Find norm(162, 174,150,12):  0.136, or 13.6%

8 0
3 years ago
Read 2 more answers
NEED HELP!!!!!!!!!!!!!!!!! Math problem! Please help!
Elanso [62]

Answer:

You are correct, it is C.

8 0
3 years ago
the length of a sandbox is three feet longer than it’s width. Write the expression that would represent the area of the sandbox.
Rashid [163]

Part A : D.)

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length =

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter =

we have given the perimeter, so on substituting the value, we get;

Hence The equation used to find the width is  .

Now we solve for 'w'.

Applying distributive property, we get;

Subtracting both side by '2' we get

Dividing both side by 6 we get;

Width of the sandbox = 4.5 ft

Length of the sandbox =

Hence Length of the sandbox is 10 feet.

6 0
3 years ago
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