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
bogdanovich [222]
3 years ago
8

X^4-256=0 numbers of rational roots

Mathematics
1 answer:
zhuklara [117]3 years ago
7 0

Answer:

x = 8 or x = -8

Step-by-step explanation:

x^4 - 256 = 0

<=>x^4 - 4^4 = 0

<=>(x - 8)(x + 8)(x^2 + 64) = 0

Case 1 :

x - 8 = 0

<=>x = 8 (choose)

Case 2:

x + 8 = 0

<=>x = -8 (choose)

Case 3:

x^2 + 64 = 0

<=>x^2 = -64 (nonsense)

so x = 8 or x = -8

Done :))

You might be interested in
Determine the value of sin 52º 47' (sine of 52 degrees, and 47 minutes). In this case, minutes are 1/60 of a degree.
jeka94

Answer:

D

Step-by-step explanation:

change minutes to degrees

60minutes=1degree

47 mutes=?

47/60=0.78333333°

Add to 52°

52° + 0.78333333°

52.78333333°

so sin 52.7833 =0.7963540136

7 0
4 years ago
A fair spinner has 12 equal sections: 5 red 4 blue and 3 green. its Spun twice what is the probability of getting the same colou
VLD [36.1K]

Answer:

25/72

Step-by-step explanation:

P( blue) = blue / total = 4/12 = 1/3

P ( blue, blue) = 1/3 * 1/3 = 1/9

P ( red) = red / total = 5/12

P ( red, red) = 5/12 * 5/12 = 25/144

P ( green) = green /total = 3/12 =1/4

P ( green , green) = 1/4 * 1/4 = 1/16

Add these together to get

P( same colour twice) = 1/9+ 25/144 + 1/16

                                      =16/144 + 25/144 + 9/144

                                      =50/144

                                     =25/72

4 0
3 years ago
A boat travels at 15 km/hr in still water. In travelling 45 km downstream from town A to town Bit completes the journey in 75 mi
Crank
Let the speed of river be x   km/hr down stream.

Time = Distance / speed

Since river flows downstream,  speed of boat down stream = Speed of boat + speed of river =  (15 + x).

 Since river flows downstream,  speed of boat upstream = Speed of boat - speed of river =  (15 - x).

Time Upstream - Time Downstream = 75 minutes

Time Upstream =  45 / (15 - x)

Time Downstream =  45 / (15 + x)

75 minutes = 75/60  =  5/4 hours

Time Upstream - Time Downstream = 75 minutes = 5/4 hours

45 / (15 - x)    -    45 / (15 + x)  = 5/4          Divide both sides by 45

1 / (15 - x)    -    1 / (15 + x)  = (5/4)*(1/45)

 1 / (15 - x)    -    1 / (15 + x)  = 1/36

((15 + x) - (15 -x)) / (15-x)(15+x)  = 1/36

(15 +x - 15 +x) / (15-x)(15+x)  =  1/36

  2x / (15-x)(15+x)  = 1/36

 (15-x)(15+x) = 2x*36

(15-x)(15+x) = 72x

225 - x² = 72x

0 =  x² + 72x -225

x² + 72x -225 = 0            This is a quadratic function, use a calculator that can solve the function, by inputting the function.

x = 3, or -75.  Since we are solving for speed, we can not have negative values.

x = 3 is the only valid solution.

Speed of the river =  3 km/hr  downstream.

Copyright.
7 0
4 years ago
The product of 2/5a²x and -1/5x²a is?
Natasha2012 [34]
So you first multiply the fractions: 2/5 times -1/5 = -2/25; then the a's: a^2 times a equals a^3; then multiply the x's: x times x^2 equals x^3.
The answer would be -2/25a^3x^3
7 0
3 years ago
Read 2 more answers
I dont know if im right or not but i think its G can anyone help?
AnnyKZ [126]
You’re right it’s G because when you are going to your righ it’s goin by 7 n same on the left side
6 0
3 years ago
Other questions:
  • How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 4 times?
    5·1 answer
  • When StartFraction 2 x squared Over y EndFraction = StartFraction w + 2 Over 4 EndFraction is solved for w, one equation is w =
    6·2 answers
  • 38+-72<br><br> Please help on this
    15·2 answers
  • How can the effect of an outlier be overcome in an experiment that examines a random sample of a population?
    9·1 answer
  • Use quadratic formula to find the solutions to 3x^2 - 10x + 5 =0
    5·1 answer
  • If H(x) = 4x^2 - 16 were shifted 5 units to the right and 2 down, what would the new equation be?
    8·2 answers
  • Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment.
    13·1 answer
  • Find routs to the equation 3x2-10x=8
    14·1 answer
  • What is the answer for −3=m−4
    12·2 answers
  • G(x) = 3lxl; find g(10)<br> Those lines by the x is absolute value
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!