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3 years ago

Which of the following is a solution of x2 + 2x + 4?

Mathematics

1 answer:

kifflom [539]3 years ago

4 0

Answer:

−1 + i times the square root of 3

is the answer.

Step-by-step explanation:

Given is a quadratic equation in x

$x^2+2x+4\\= x^2+2x+1+3\\=(x+1)^2+3$

using completion of squares method

Equate to 0

$(x+1)^2+3 =0\\(x+1)^2 = -3\\$

Take square root

$(x+1) = \sqrt{-3} =±i\sqrt{3}$

Subtract one from both sides

x = [/tex]-1±i\sqrt{3}[/tex]

The last option namely

−1 + i times the square root of 3 only matches with our answre

Hence last option is right.

You might be interested in

Use the coordinate grid to determine the coordinates of point A;

faltersainse [42]

Answer:

Step-by-step explanation:

The coordinates of point P are (-1.4,0.6)

Step-by-step explanation:

We are given A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid.

that means each grid has a value of 0.2.

" A point labeled P is shown at the intersection of 7 grid lines to the left of the y-axis and 3 grid lines above the x-axis "

As P lies on the left of the y-axis and above the x-axis hence the x-value will be negative and y-value will be positive.

According to the given information P lies 7 grid lines to the left of y-axis.

i.e. it has x-value -7×0.2= -1.4

and 3 grid lines above the x-axis i.e. it has y-value:

y-value= 3×0.2=0.6

Hence, the coordinates of Point P are (-1.4,0.6).

Click to let others know, how helpful is it

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8 0

3 years ago

Read 2 more answers

After you analyzed demand, you took steps to make sure your business made sense financially.

Stells [14]

Answer:

A store ships cans by weight. A small box can hold 3 to 5 pounds. A medium box can hold 5 to 8 pounds. A large box can hold 8 to 10 pounds. The weights of the cans are given below.

Drag cans into each box to show what the box could contain.

kfeffse

Step-by-step explanation:

A store ships cans by weight. A small box can hold 3 to 5 pounds. A medium box can hold 5 to 8 pounds. A large box can hold 8 to 10 pounds. The weights of the cans are given below.

Drag cans into each box to show what the box could contain.

3 0

3 years ago

THERE ARE 3 BAGS OF APPLES WEIGHING A TOTAL OF 22 1/2 POUNDS. TWO OF THE BAGS WEIGH 6 3/8 POUNDS AND 3 1/4 POUNDS. HOW MUCH DOES

Mkey [24]

I wasn't going to click on this one, but the all-caps enthralled me and hypnotized me.

first off, let's change all the mixed fractions to "improper" and proceed from there, keep in mind that if we subtract the two bags' weight from the total, what's leftover is the 3rd bag's weight.

$\bf \stackrel{mixed}{22\frac{1}{2}}\implies \cfrac{22\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{45}{2}}
\\\\\\
\stackrel{mixed}{6\frac{3}{8}}\implies \cfrac{6\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{51}{8}}
\\\\\\
\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}\\\\
-------------------------------\\\\$

$\bf \stackrel{\textit{sum of the two bags}}{\cfrac{51}{8}+\cfrac{13}{4}}\impliedby \textit{our LCD is 8}\implies \cfrac{(1)51+(2)13}{8}
\\\\\\
\cfrac{51+26}{8}\implies \cfrac{77}{8}\\\\
-------------------------------\\\\
\stackrel{total}{\cfrac{45}{2}}~-~\stackrel{two~bags}{\cfrac{77}{8}}\impliedby \textit{our LCD is again 8}\implies \cfrac{(4)45-(1)77}{8}
\\\\\\
\cfrac{180~~-~~77}{8}\implies \cfrac{103}{8}\implies \stackrel{third~bag}{12\frac{7}{8}}$

3 0

3 years ago

Express 56.4% as a fraction in simplest form.

laiz [17]

56.4/100 you always put your beginning number over 100

3 0

3 years ago

If the perimeter of an equilateral triangle is 36 inches, find a side of the triangle.

Ostrovityanka [42]

Answer:

A=12 in

perimeter=36 in

Step-by-step explanation: give me brainly

7 0

3 years ago