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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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nordsb [41]

Answer It's A, B, C, and F. Or 1, 2, 3, 5

Step-by-step explanation:

To have a true Inequality there has to be a relation between the 2 sides, meaning there is a greater than or less that sign.

7 0
3 years ago
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Answer:

7,24,25

explanation:

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2 years ago
The swimsuit is on sale for 25% off its original price. If the original price was $58. What is the sale price?
sergiy2304 [10]

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3 years ago
(picture) Factoring Polynomials: GCF PLEASEE HELP!!!!!<br> a<br> b<br> c<br> d
tigry1 [53]

Answer:

greatest common factor is 2

Step-by-step explanation:

4k, 18k^4, 12

To find greatest common factor , we write each term in factor form

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6 0
3 years ago
The amount ofmoney is in the ratio 8:3 if the first amount is 9.92 what is the second amount?
BARSIC [14]

Answer:

The second amount is 3.72

Step-by-step explanation:

Given

First : Second = 8 : 3

First = 9.92

Required

Find Second

First : Second = 8 : 3

Substitute 9.92 for First

9.92: Second = 8 : 3

Express as fraction

\frac{Second}{9.92} = \frac{3}{8}

Multiply both sides by 9.92

9.92 * \frac{Second}{9.92} = \frac{3}{8}*9.92

Second = \frac{3}{8}*9.92

Second = 3.72

5 0
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