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kvv77 [185]
3 years ago
12

Solve by completing the square: x^2 + 7x + 4 = 0

Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

x

2

+

7

x

−

4

=

0

Add  

4

to both sides of the equation.

x

2

+

7

x

=

4

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  

b

.

(

b

2

)

2

=

(

7

2

)

2

Add the term to each side of the equation.

x

2

+

7

x

+

(

7

2

)

2

=

4

+

(

7

2

)

2

Simplify the equation.

Tap for more steps...

x

2

+

7

x

+

49

4

=

65

4

Factor the perfect trinomial square into  

(

x

+

7

2

)

2

.

(

x

+

7

2

)

2

=

65

4

Solve the equation for  

x

.

Tap for more steps...

x

=

±

√

65

2

−

7

2

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

65

2

−

7

2

Decimal Form:

x

=

0.53112887

−

7.53112887

Step-by-step explanation:

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Natasha_Volkova [10]
That  inequality  would be  n ≥ 38
7 0
3 years ago
Could you Show work please
notka56 [123]

Answer:

2784 cm^2

Step-by-step explanation:

I have indicated in the pic there are 4 types of rectangles:

green : 20 x 4 = 80

red : 18 x 4 = 72

yellow : 20 x 18 = 360

blue : 18 x 16 = 288

green has 6 identical surface area so 6 x 80 = 480

red has 4 so 4 x 72 = 288

yellow has 4 so 4 x 360 = 1440

blue has 2 so 2 x 288 = 576

total : 480 + 288 + 1440 + 576 = 2784

7 0
3 years ago
Read 2 more answers
Sally's summer punch recipe is a combination of lemonade and fruit punch. Sally uses 6 cups of lemonade for every 8 cups of frui
andre [41]

Answer:

August made the recipe using the <em>incorrect</em> ratio

Step-by-step explanation:

* Lets explain how to solve the problem

- Sally's recipe is a combination of lemonade and fruit

- Sally uses 6 cups of lemonade for every 8 cups of fruit

∵ Sally uses 6 cups of lemonade for every 8 cups of fruit

∴ The ratio of sally recipe is 6 : 8

- Simplify the terms of the ratio by divide them by 2

∴ The ratio of sally recipe is 3 : 4

- August made a recipe with 35 cups of liquid total

- He made 15 cups of them lemonade

∵ The total number of cups August made is 35

∵ 15 of them are lemonade

∴ The number of fruit cups = 35 - 15 = 20 cups

∵ August mad 15 cups of lemonade for every 20 cups of fruit

∴ The ratio of August recipe is 20 : 15

- Simplify the terms of the ratio by divide them by 5

∴ The ratio of August recipe is 4 : 3

∵ The ratio of Sally recipe is 3 : 4

∵ The ratio of August recipe is 4 : 3

∵ The ratio 3 : 4 ≠ the ratio 4 : 3

∴ August made the recipe using the <em>incorrect</em> ratio

6 0
3 years ago
Read 2 more answers
A summarine is only allowed to change his depth by rising Toward the surface in 50 m stages it starts off at negative 235 m how
Vladimir [108]

Answer:

It will take 5 stages to reach the surface.

Step-by-step explanation:

-225/50=4.5 or what times 4.5 equals -225

Hope this helps.

3 0
3 years ago
Please solve 2x+1&lt;1 or x+5&gt;8 for me please xx &lt;3​
Zolol [24]

Answer:

x=0

Step-by-step explanation:

Subtract 1 from both sides

2x+1-1<1-1

Simplify the arithmetic

2x<1-1

Simplify the arithmetic

2x<0

Isolate the X

X=0

3 0
3 years ago
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