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3 years ago

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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Answer:

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Step-by-step explanation:

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We are being informed that; if the length of the container is half of a foot longer than its width.

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here;

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If we rewrite the given expression :

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3 years ago

Which graph represents the parent function of y=x^2 −5?

hjlf

From the function given:
y=x^2-5
this can be written as:
y=x^2+0x-5
writing in vertex form we get:
y=(x-h)^2+k
where: (h,k) is the vertex
y=(x-0)^2-5
thus the vertex is at (0,-5)
the parent function is y=x^2, thus the graph of the parent function is First graph

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Step-by-step explanation:

Kindly refer to the attached image for explanations

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3 years ago

Solve x^2 + 5x + 6 = 0​

Solve x^2 + 5x + 6 = 0