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disa [49]
3 years ago
11

Solve the equation using the quadratic formula. Enter each solution in simplest form.

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

For this case we have the following quadratic equation:

x ^ 2-4x + 23 = 0

The solutions will be given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Where:

a = 1\\b = -4\\c = 23

Substituting the values we have:

x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (23)}} {2 (1)}\\x = \frac {4 \pm \sqrt {16-92}} {2}\\x = \frac {4 \pm \sqrt {-76}} {2}\\x = \frac {4 \pm \sqrt {76i ^ 2}} {2}\\x = \frac {4 \pmi \sqrt {76}} {2}\\x = \frac {4 \pmi \sqrt {2 ^ 2 * 19}} {2}\\x = \frac {4 \pm2i \sqrt {19}} {2}\\x = 2 \pm i\sqrt {19}

We have two roots:

x_ {1} = 2-i \sqrt {19}\\x_ {2} = 2 + i \sqrt {19}

ANswer:

x_ {1} = 2-i\sqrt {19}\\x_ {2} = 2 + i\sqrt {19}

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Find the first term of the sequence 4, 12, 36, 108.... which exceeds 20,000.
Schach [20]

Answer:

43740

Step-by-step explanation:

its an exponential factor of 3 just multiply each answer by 3 to get the next one up

5 0
3 years ago
Nate rented a power washer and a generator. On his first job, he used each piece of equipment for 6 hours which cost $90. On his
sp2606 [1]

Answer:

Step-by-step explanation:

p = power washer and g = generator

6p + 6g = 90 .....multiply by 4

4p + 8g = 100 ....multiply by -6

---------------------

24p + 24g = 360 (result of multiplying by 4)

-24p - 48g = -600 (result of multiplying by -6)

---------------------add

-24g = - 240

g = -240 / -24

g = 10 <=== the generator cost $ 10 per hr

6p + 6g = 90

6p + 6(10) = 90

6p + 60 = 90

6p = 90 - 60

6p = 30

p = 30/6

p = 5 <==== the power washer costs $ 5 per hr

check...

4p + 8g = 100

4(5) + 8(10) = 100

20 + 80 = 100

100 = 100 (correct)

3 0
3 years ago
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
kodGreya [7K]

Answer:

Buy the batteries and stereo online:  

4.99*2= $9.98 +$90 = $99.98  

6.99-5.00 = $1.99  

99.98+1.99=$101.97  

3Cds in store  

7.97*3= $23.85  

5% tax = 1.19  

10% off = 2.39  

$23.85 - $1.19= $22.66  

22.66 + 101.97= $124.63  

All in store:  

12+100+23.85= 135.85 - 6.45 = $129.40  

All online:  

9.98 + 90 + 26.85= 126.85 +$1.99 = 128.84

<u><em>(CREDIT: Hussain514)</em></u>

8 0
3 years ago
A kite is currently flying at an altitude of 19 meters above the ground. If the angle of elevation from the ground to the kite i
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Answer:

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8 0
3 years ago
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