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lord [1]
2 years ago
5

Solve x^2 + 5x + 6 = 0​

Mathematics
2 answers:
boyakko [2]2 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]2 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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3 years ago
Six times a number increased by 20 is four less than eight times the number. Find the number
DaniilM [7]
Greetings!

"<span>Six times a number increased by 20 is four less than eight times the number. Find the number."...

This would be, as an equation:
</span>6x+20=8x-4

Solve:
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Simplify.
24=2x
Divide both sides by 2.
(24)/2=(2x)/2
Simplify.
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x=12
<span>
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Hope this helps.
-Benjamin

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What should you do if in the REVIEW phase of problem solving, you find the answer doesn't make sense?
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Step-by-step explanation:

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