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3 years ago

Solve x²+5x+6=0 by completing the square

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

ab=6

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

1,6

2,3

Calculate the sum for each pair.

1+6=7

2+3=5

The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

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Transpose terms to RHS ,

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Divide both sides by 5 ,

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<h3>Unit price is $ 0.56 per pound of potatoes</h3><h3>Unit price is $ 3.1 per pound of broccoli</h3>

<em><u>Solution:</u></em>

Given that,

Unit price is the price of 1 unit

$\textrm{Unit Price} = \frac{\textrm{Total cost on n products}}{\textrm{n}}$

<h3><u>Find unit price of potatoes</u></h3>

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$Unit\ Price = \frac{2.52}{4.5}\\\\Unit\ Price = 0.56$

Thus unit price is $ 0.56 per pound of potatoes

<h3><u>Find unit price of broccoli</u></h3>

$7.75 for 2.5 pounds of broccoli

$Unit\ Price = \frac{7.75}{2.5}\\\\Unit\ Price = 3.1$

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

Option A is correct.

The value of r = -0.7 represents the strongest negative correlation.

Step-by-step explanation:

A correlation is a value that describes a relationship between two things or variables.

Strongest Negative Correlation says that closer a negative correlation to -1, the stronger the relationship between the two variables.

From the options, we have only two negative values i.e, r= -0.7 and r= -0.22.

We have to find the strongest negative correlation r-value.

By the definition, you can see that -0.7 is very closer to -1 ,

therefore, the value of r = -0.7 represents the strongest negative correlation.

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3 years ago

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Solve x²+5x+6=0 by completing the square​

Solve x²+5x+6=0 by completing the square