1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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}

You might be interested in
What is 28/35 as a percentage?<br><br><br> truly.
Mazyrski [523]

28/35 as a percentage is 80%.

Hope helps!-Aparri

4 0
3 years ago
Read 2 more answers
A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other leng
aalyn [17]
a,b,c-\ sides\ of\ triangle\\\\a+b+c=18\ inches\\\\a=8inch\\\\\frac{b}{c}=\frac{2}{3}\\\\3b=2c\ \ --->b=\frac{2c}{3}\\\\8+\frac{2c}{3}+c=18\ |*3\\\\24+2c+3c=54\\\\5c=54-24\\\\5c=30\\\\c=\frac{30}{5}=6\\\\Length\ of\ shorter\ side\ is\ equal\ to\ 6\ inches.
8 0
3 years ago
Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $500 item is $30, what is the s
Archy [21]
30 / 500 = x / 900....$ 30 tax / 500 item = $ x tax on 900 item
cross multiply
(500)(x) = (900)(30)
500x = 27000
x = 27000/500
x = 54 <===
6 0
3 years ago
Read 2 more answers
Can someone please write the points in a notebook please I really need help
nordsb [41]

Answer:

Step-by-step explanation:

8 0
3 years ago
Find the measure of the hands of a clock at 12:38
Vinvika [58]
I would say 12 hours and 38 min
8 0
3 years ago
Other questions:
  • Samantha works part time at a store where she earns $462.30 each month
    12·1 answer
  • Commutative property for 70*6000
    11·2 answers
  • Need help with this homework
    7·1 answer
  • The temperature is -2 if the temperature rises by 15 what is the new temperature​
    13·1 answer
  • Ex: Neckwear association reported 3% of ties sold in the US are bow ties. If 4 customers purchased a tie, find the probability t
    7·1 answer
  • What is 78% of $350<br> what do you have to do to get this answer to the question
    14·2 answers
  • Find x<br><br> Will give brainlist
    8·2 answers
  • if hadley sucked 2 toes in the morning 5 of her grandpas toes in the afternoon then 3 more in the night how many toes did she su
    10·1 answer
  • (fºf)(x)=9x²+2<br> find f(x).​
    10·1 answer
  • What does the product of the two circled numbers (3 and 7) represent? ​​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!