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
svetoff [14.1K]
2 years ago
13

2x-3x²=5 in standard formation​

Mathematics
2 answers:
harina [27]2 years ago
5 0

Answer:

Step-by-step explanation:

1. Make the equation equal to zero

2x - 3x^2 = 5 = 0

2. Then apply simple algebra by subtracting -5 from +5

2x - 3x^2 = 5 = 0

                  -5

3. Now move the -5 to the left side of the equation

2x - 3x^2 -5 = 0

4. Now arrange the numbers into standard form (ax^2 + bx + c)

-3x^2 + 2x - 5

UkoKoshka [18]2 years ago
4 0
Bc 2x—x3=ew.r divorce
You might be interested in
How many sets of three consecutive integers are there in which the sum of the three integers equals their product?
skad [1K]

Answer:

3

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

x + (x + 1) + (x + 2) = x(x + 1)(x + 2)

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

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

0 4x² - x

- 4x² - 4x

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

0 + 3x - 3

- 3x - 3

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

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

4 0
2 years ago
What are the solutions of this quadratic equation? x2 + 10 = 0 A. B. C. D.
Daniel [21]

Answer:

x2+10=0A.B.C.D.

it is A because 0 can't enter into a letter if it can enter then it will be the same letter

5 0
3 years ago
Can somebody help me please:(!
dlinn [17]
The greatest number is 28 people
7 0
3 years ago
Read 2 more answers
Solve: 16x = 8<br> A. 1/2<br> B. 2<br> C. 4<br> D. 12
Rudik [331]
X=1/2
Hope this helped! :3
3 0
3 years ago
Read 2 more answers
What is the solution to 8 + 9p = 9p - 7?
Norma-Jean [14]

Answer:

15=0 not a real number

Step-by-step explanation:

8+9p=9p-7  

+7          +7

15+9p=9p

-9p        -9p

15=0

4 0
3 years ago
Read 2 more answers
Other questions:
  • Mr. Johansen is cutting construction paper for an art project. He has 24 students, and six pieces of construction paper. How muc
    8·1 answer
  • Suppose the scores on a history quiz are normally distributed with a mean of 73 and a standard deviation of 4. Which group descr
    11·1 answer
  • What is the measure of angle VXZ
    14·1 answer
  • Calculate the volume of a cylinder of height 7 cm and radius 4 cm (take π)​
    15·1 answer
  • Need help i am desperate
    13·1 answer
  • Help on both 13 and 14. Show work please
    9·1 answer
  • What is the smallest fraction for 3/6
    10·2 answers
  • a rectangular inflatable swimming pool is 2 <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D" id="TexFormula1" title="\fr
    8·2 answers
  • 10+100000×10000×2000000​
    9·2 answers
  • What is 5x-2y= -4 in slope intercept form
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!