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
Zepler [3.9K]
3 years ago
5

Use the discriminant to determine how many solutions are possible for the following equation show

Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

Answer:

x = 3/10 + (i sqrt(71))/10 or x = 3/10 - (i sqrt(71))/10

Step-by-step explanation:

Solve for x:

5 x^2 - 3 x + 4 = 0

Divide both sides by 5:

x^2 - (3 x)/5 + 4/5 = 0

Subtract 4/5 from both sides:

x^2 - (3 x)/5 = -4/5

Add 9/100 to both sides:

x^2 - (3 x)/5 + 9/100 = -71/100

Write the left hand side as a square:

(x - 3/10)^2 = -71/100

Take the square root of both sides:

x - 3/10 = (i sqrt(71))/10 or x - 3/10 = -(i sqrt(71))/10

Add 3/10 to both sides:

x = 3/10 + (i sqrt(71))/10 or x - 3/10 = -(i sqrt(71))/10

Add 3/10 to both sides:

Answer: x = 3/10 + (i sqrt(71))/10 or x = 3/10 - (i sqrt(71))/10

You might be interested in
Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6
crimeas [40]

Answer:

  c.  3a^2b^11/2

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

 \dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}

3 0
2 years ago
An equation that shows the relationship of 30% of x is 40
Tresset [83]
What do you mean? Try to explain
5 0
2 years ago
Read 2 more answers
There are 700 students going on a field trip. Transportation safety states that only 46 students are allowed on each bus. How ma
andreyandreev [35.5K]
There will be 16 buses
4 0
3 years ago
2. Tessa used the computer every day. Her mother said Tessa could only use the
Vlada [557]

Answer:

3/4 of an hour

Step-by-step explanation:

To find the leftover time, subtract the total allotted time by the time used.

First make sure they have common denominators.

1 1/2 = 3/2 = 6/4

6/4 - 3/4 = 3/4

Tessa has 3/4 of an hour left.

7 0
2 years ago
HELPPP!!!<br><br> help me for a brainliest!
Radda [10]

<em>=</em><em>5</em><em>^</em><em>6</em><em>/</em><em>5</em><em>^</em><em>4</em>

<em>=</em><em>5</em><em>^</em><em>(</em><em>6</em><em>-</em><em>4</em><em>)</em>

<em>=</em><em>5</em><em>^</em><em>2</em><em> </em><em>ANSWER</em><em>.</em><em>.</em>

8 0
3 years ago
Other questions:
  • The volume of a large balloon after it is punctured is represented by the following table:
    14·1 answer
  • Which is not in scientific notation?
    10·1 answer
  • P=-40q+163, what is the relationship between p and q?
    13·1 answer
  • Choose the correct written expression for: 25 – (3 x 4).
    15·2 answers
  • Sarah has gone to work for 60 days. On 39 of those days, she arrived at work before 8:30 A.M. On the rest of the days she arrive
    10·1 answer
  • What is the best discription of AB
    14·2 answers
  • Which of these equations are linear functions that go
    12·1 answer
  • Instructions: Given the vertex of a quadratic function, find the axis
    11·1 answer
  • Montrell saves 8% of each paycheck for his college fund. This week he saved $18.80 from his paycheck, how much was he paid?
    14·1 answer
  • I NEED HELP URGENTLY
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!