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
Rudiy27
3 years ago
11

2x-5=3x^2 find the root of X

Mathematics
1 answer:
Zina [86]3 years ago
4 0

For this case we must solve the following quadratic equation:

3x ^ 2-2x + 5 = 0

Where:

a = 3\\b = -2\\c = 5

The roots are given by:

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

Substituting the values we have:

x = \frac {- (- 2) \pm \sqrt {(- 2) ^ 2-4 (3) (5)}} {2 (3)}\\x = \frac {- (- 2) \pm \sqrt {(- 2) ^ 2-4 (3) (5)}} {2 (3)}\\x = \frac {2 \pm \sqrt {4-60}} {6}\\x = \frac {2 \pm \sqrt {-56}} {6}

By definition we have to:

i ^ 2 = -1\\x = \frac {2 \pm \sqrt {56i ^ 2}} {6}\\x = \frac {2 \pm i \sqrt {56}} {6}\\x = \frac {2 \pm i \sqrt {2 ^ 2 * 14}} {6}\\x = \frac {2 \pm 2i \sqrt {14}} {6}\\x = \frac {1 \pm i \sqrt {14}} {3}

We have two complex roots:

x_ {1} = \frac {1+ i \sqrt {14}} {3}\\x_ {2} = \frac {1- i \sqrt {14}} {3}

Answer:

x_ {1} = \frac {1+ i \sqrt {14}} {3}\\x_ {2} = \frac {1- i \sqrt {14}} {3}

You might be interested in
75% of students in a statistics class said that they liked statistics more than algebra. if 3 of these students are randomly sel
krek1111 [17]
I percieve this as a trick question. The probability is 100% because if the 3 randomly selected students pertain to the group of students who like statistics better than algebra, then obviously, they are all going to say they like stats better than algerbra.
4 0
3 years ago
Identify the vertex of the function, fx) = 3(x - 1)2 + 5.
madam [21]

Answer:

fx) = 3x+4

Step-by-step explanation:

1. step:

solve the bracket

fx) = 3(x - 1) 2 + 5

fx) = 3x-1+2+5

2. step:

use the BEDMAS form.

fx) = 3x-3+7

fx) = 3x+4

8 0
3 years ago
HELP PLEASE ASAP!!!!!!!!!!!!!!
Nesterboy [21]
A. Since the area of a triangle is equal to A = 0.5bh, we just plug in numbers given to us:
A = \frac{1}{2}bh= \frac{1}{2}(2x+7)(4x+6)= \frac{1}{2}(8x^2+40x+42)=4x^2+20x+21

So, that's your answer.

B. The answer is a 2nd-degree trinomial because it has three terms and it's highest exponent is 2.

C. Polynomials are closed under multiplication because if you multiply two polynomials, you get another polynomial (except if you multiply by the inverse which is excluded anyways).
7 0
3 years ago
Complete the table to describe the model.
loris [4]
Is there supposed to be a picture??!
3 0
3 years ago
What is 8,663,943,526 rounded to the nearest million? A. 8,663,000,000 B. 8,663,944,000 C. 8,664,000,000 D. 9,000,000,000
maksim [4K]
The answer is 
<span>C. 8,664,000,000</span>
8 0
3 years ago
Other questions:
  • Graph: f(x) = 22-1
    12·1 answer
  • Omar bought 9 pounds of flour for $4 how many pounds of flour did he get per dollar
    12·2 answers
  • Square root of 500 over the square root of 5​
    14·1 answer
  • Calculate the area of this TRIANGLE:<br> 13 in<br> 24 in
    9·1 answer
  • Solve <br><br> thanks and give how you done it too
    6·2 answers
  • John writes the proof below to show that the sum of the angles in a triangle is equal to 180°. Which of these reasons would John
    11·1 answer
  • Is {3,…} a defined set
    9·1 answer
  • Se desea cortar en 4 trozos iguales una pieza de tela de 14 .6 m que longitud cada trozo?​
    12·1 answer
  • Emmy had 50 cents until she spend 4 nickles. how much money does emmy have now?
    9·2 answers
  • Victor just bought a new television for $815.00. He made a down payment of $79.00 and will pay monthly payments of $32.00 until
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!