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timama [110]
3 years ago
7

What are the roots of the equation 16x2 + 40x + 27 = 0 in simplest a + bi form?

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

9514 1404 393

Answer:

  -5/4 +i(√2)/4 and -5/4 -i(√2)/4

Step-by-step explanation:

I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...

  x^2 +5/2x +27/16 = 0

Completing the square by adding and subtracting the square of half the x-coefficient, we get ...

  (x^2 +5/2x +25/16) +27/16 -25/16 = 0

  (x +5/4)^2 = 2/16

Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...

  x +5/4 = ±√(-2/16)

  x = -5/4 ±i(√2)/4

The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.

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What’s the value of the 8 in 281480100
luda_lava [24]

We want to find the value of the 8 in 281,480,100

Let's find the place value of each of the numbers:

2 - hundred millions

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1 - millions

4 - hundred thousands

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1 - hundreds

0 - tens

0 - ones

I see there are two 8's so I wouldn't be too sure of which value to find, but just in case, we have the chart made above for place values.

There is one 8 at the ten millions value.

There is one 8 at the ten thousands value.

7 0
3 years ago
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Add. 56+234 Enter the sum in the box as a mixed number in the simplest form.
Kobotan [32]

Answer:

290

Step-by-step explanation:

First, add two digit number from them.

50 + 30 = 80

Second, add the last two numbers.

6 + 4 = 10

So, add these two results.

80 + 10 = 90

Final, all of theses results are added to three digit number of second number.

So, final result is

200 + 90 = 290

5 0
3 years ago
You can eat no more than 40 slices of pizza each week. If you have
Svet_ta [14]

Answer: 5.7 slices

Step-by-step explanation:

7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.

Divide both sides by 7:

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x= 5.7

4 0
3 years ago
Please help!<br><br>In circle Y, what is m?<br><br><br>82°<br><br>100°<br><br>106°<br><br>118°
ss7ja [257]

Answer:

<em>The correct option is:  82°</em>

Step-by-step explanation:

In the given diagram, two chords RT and SU are intersecting.

According to the <u>Angle of intersecting chord theorem</u>, "<em>If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle</em>."

That means here......

94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°

So, the measure of arc TU is 82°

5 0
3 years ago
Please help I’ll give brainliest!!
natta225 [31]

Answer:

hi

Step-by-step explanation:

8 0
3 years ago
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