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
eimsori [14]
3 years ago
5

In simplest radical form, what are the solutions to the quadratic eqaution 0=-3x^2-4x+5

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

x= -\frac{2+\sqrt{19} }{3} \textrm { and } x = -\frac{2-\sqrt{19} }{3}

Step-by-step explanation:

We have to find the solution of the quadratic single variable equation as given below:

- 3x² - 4x + 5 = 0 ..... (1)

The left-hand side can not be factorized.

So, apply The Sridhar Acharya Formula, which gives if ax² + bx + c = 0,the the solutions of the quadratic equation are

x=\frac{-b + \sqrt{b^{2} -4ac} }{2a} and, x=\frac{-b - \sqrt{b^{2} -4ac} }{2a}

So, from the equation (1), we can write  

x= \frac{-(-4) +\sqrt{(-4)^{2}-4 \times (-3) \times 5 } }{2 \times (-3)} and

x= \frac{-(-4) -\sqrt{(-4)^{2}-4 \times (-3) \times 5 } }{2 \times (-3)}

⇒ x=\frac{4+ 2\sqrt{19} }{-6} \textrm{ and } x=\frac{4-2\sqrt{19} }{-6}

⇒ x= -\frac{2+\sqrt{19} }{3} \textrm { and } x = -\frac{2-\sqrt{19} }{3} (Answer)

You might be interested in
10 times as many as _ hundreds is 60 hundreds or _ thousands
vovangra [49]
60 hundreds = 60 * 100 = 6,000  ( six thousands )
10 * 600 = 6,000 ( 10 times as many as 600 is 6,000 - six thousands )
Answer:
10 times as many as 6 hundreds is 60 hundreds or 6 thousands.  
6 0
3 years ago
Read 2 more answers
Ariana's grandfather made a scaled down model of a knitting needle to be placed inside a dollhouse. Arianna measured the model b
Andrew [12]

Answer:

10.5

Step-by-step explanation:

1.5 inches

.5 and 1.5 =3

3x3.5=10.5

3 0
2 years ago
Read 2 more answers
Sophia has 3 jewelry boxes. She puts 8 necklaces in each box. Explain how to use counters to solve for the total number of neckl
ankoles [38]

Answer:

24 is your answer

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP 30 POINTS AND BRANILEST
LUCKY_DIMON [66]

Answer:

Go through the explanation you should be able to solve them

Step-by-step explanation:

How do you know a difference of two square;

Let's consider the example below;

x^2 - 9 = ( x+ 3)( x-3); this is a difference of two square because 9 is a perfect square.

Let's consider another example,

2x^2 - 18

If we divide through by 2 we have:

2x^2/2 -18 /2 = x^2 - 9 ; which is a perfect square as shown above

Let's take another example;

x^6 - 64

The above expression is the same as;

(x^3)^2 -( 8)^2= (x^3 + 8) (x^3 -8); this is a difference of 2 square.

Let's take another example

a^5 - y^6 ; a^5 - (y ^3)^2

We cannot simplify a^5 as we did for y^6; hence the expression is not a perfect square

Lastly let's consider

a^4 - b^4 we can simplify it as (a^2)^2 - (b^2)^2 ; which is a perfect square because it evaluates to

(a^2 + b^2) ( a^2 - b^2)

3 0
3 years ago
Riley has $200 she spends 60 on a video game what percent of her money does Riley spend?
GREYUIT [131]

Answer:

30%

Step-by-step explanation:

60/200 = 3/10 = 30%

6 0
8 months ago
Other questions:
  • Which statement best describes tuition
    5·2 answers
  • Multiply and give the answer in scientific notation: (2.3 x 10-3)(3 x 108) A) 6.9 x 105 B) 6.9 x 1011 C) 6.9 x 10-5 D) 6.9 x 102
    12·1 answer
  • I have two quarters and<br>a dime. How much more<br>money is needed to make<br>$1.00?​
    11·2 answers
  • Please please please help me with this
    15·1 answer
  • The point of concurrency of the angle bisector is called what
    10·1 answer
  • The perimeter of a square is 75 cm what is the length of one side of the square​
    5·1 answer
  • You are testing two food scales for accuracy by weighing two different types of foods.
    11·1 answer
  • Create an equivalent trinomial for 2 (3x + 5)(2x - 6)​
    13·1 answer
  • You deposit $200 in account earning 12% simple interest how much will the balance be after five years
    7·1 answer
  • Simplify the expression 120x^3/18xy
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!