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
mel-nik [20]
3 years ago
7

Find all of the zeros of the function f(x) = x3 – 23x2 + 161x – 303.

Mathematics
2 answers:
Dovator [93]3 years ago
6 0

Answer:

  • x = 3
  • x = 10 ± i

Step-by-step explanation:

A graph shows the only real zero to be at x = 3.

Factoring that out gives the quadratic whose vertex form is ...

  y = (x -10)² +1

The roots of this quadratic are the complex numbers x = 10 ± i.

_____

For y = (x -10)² +1, the zeros are ...

  (x -10)² +1 = 0

  (x -10)² = -1 . . . . . . . . . . subtract 1

  x -10 = ±√(-1) = ±i . . . . .take the square root

  x = 10 ± i . . . . . . . . . . . . add 10

yarga [219]3 years ago
5 0

Answer:

3, 10±i

Step-by-step explanation:

Given is a function f(x) = x^3 - 23x^2 + 161x -303.

By rational roots theorem, this can have zeroes as ±1, ±3,±101

By trial and error checking we find f(3) =0

Hence x-3 is a factor

f(x) = (x-3)(x^2-20x+101)

II being a quadratic equation we find zeroes using formula

x=\frac{20±\sqrt{400-404} }{2} =10+i, 10-i

zeroes are 3, 10±i

You might be interested in
At 2pm the level of the water in the pool was 10feet.At 6pm the level of water was 2 feet.What is the constant rate
Lyrx [107]

2 pm to 6pm is 4 hours

10 feet - 2 feet = 8 feet

 8 feet / 4 hours = 2 feet per hour

 since it is losing water it would be negative 2 feet per hour

8 0
3 years ago
For 8x2 - 2x-3=0, a = 8, b=_
lianna [129]

Answer:

A = 8   B = -2   C = -3

Step-by-step explanation:

The standard form for a quadratic equations is

Ax^2 + Bx +C =0

8x2 - 2x-3=0

A = 8   B = -2   C = -3

6 0
3 years ago
I need this answer ASAP <br> Please do this for me I will mark as brainiest and I will give thanks
pochemuha

Can you make it bigger i cant see

7 0
4 years ago
A dance academy charges $24 per class and a one time registration fee of $15. A student paid a total of $687 to the academy. Fin
dem82 [27]

Answer:

The student took 28 classes

Step-by-step explanation:

What I did was minus $15 from the $687 total, cause $15 is only a one time registration fee, then 687-15=672, so then I divided 672 by the cost per class, so $24, 672 divided by 24 equals to 28, so the student took 28 classes.

5 0
3 years ago
Dave divided 3/5 of a gallon of plant fertilizer evenly among 6 smaller bottles. How many gallons did he put in each bottle?
Delvig [45]

Answer:

Brothers Sorry I don't

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

8 0
3 years ago
Other questions:
  • You get one lottery ticket that will 5% of the time pay out $5, will 10% of the time pay out $10, and will 85% of the time pay o
    15·1 answer
  • If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true
    15·1 answer
  • Find the volume of a rectangular prism with a length of 13.2 in, a width of 13.8 in and
    11·2 answers
  • Worth 20 points PLZ HELP ASAP
    8·1 answer
  • If 2x + 5y = 21 and x + y = 3, then what is the value of x?
    9·2 answers
  • Y<br> 45°<br> X 100°<br> y = [ ? 1°
    6·1 answer
  • During a scuba dive, Lainey descended to a point 23 feet below the ocean surface. She continued her
    6·1 answer
  • Which point has coordinates (-2, -2) ?
    9·2 answers
  • I’m triangle PQR, SP = SQ. What is SQR? Help please.
    14·1 answer
  • Options of Answer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!