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baherus [9]
3 years ago
14

What are the solutions of the equation x^6-9x^3+8= 0 use u substitution to solve

Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer: x = {1, 2}

<u>Step-by-step explanation:</u>

x⁶ - 9x³ + 8 = 0

Let u = x³  

⇒ (x³)² - 9(x³)¹ + 8(x³)⁰ = 0

⇒ u² - 9u + 8 = 0

⇒ (u - 1)(u - 8) = 0

⇒ u = 1 or u = 8

Replace u with x³

x³ = 1     or   x³ = 8

Take the cubed root of each side

x = 1     or     x = 2

 

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PLEASEEE HURRYYY
Masteriza [31]

Answer:

(2,-5) and (2,1).

Step-by-step explanation:

We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.

A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.

Standard form of a circle is

(x-h)^2+(y-k)^2=r^2

where, (h,k) is center and r is the radius.

(x-(-2))^2+(y-(-4))^2=(5)^2

(x+2)^2+(y+2)^2=25

Now, put x=2.

(2+2)^2+(y+2)^2=25

(4)^2+(y+2)^2=25

(y+2)^2=25-16

(y+2)^2=9

Taking square root on both sides.

y+2=\pm\sqrt{9}

y+2=\pm3

y+2=-3\text{ or }y+2=3

y=-5\text{ or }y=1

So, the y-coordinates of the points are -5 and 1.

Therefore, the required points are (2,-5) and (2,1).

8 0
3 years ago
Salut as vrea si eu daca se poate o compunere cu titlul prima zi de craciun.Va rog frumos.
ch4aika [34]

Answer:

lol

Step-by-step explanation:


5 0
3 years ago
A community organizes a phone tree in order to alert each family of emergencies. In the first stage, one person calls five famil
masya89 [10]
Answer: It will take 7 stages for all 19,530 families to be called.

In the first stage, only 5 families are called.

In the second stage, we would have 5 x 5 = 25 families being called.

In the third stage, we would have 5 x 5 x 5 = 125 families being called.
We can use exponents to finish the list and see when our goal is reached.

4th stage: 5^4 = 625

5th stage: 5^5 = 3125

6th stage: 5^6 = 15625

7th stage: 5^7 = 78,125
6 0
3 years ago
if Ann ha d 11 times as many art brushes as Tim.if they have 60 art brushes altogether how many brushes does Ann have
Luba_88 [7]
So if Ann is a, then Tim has 11a brushes, and together they have a+11a=12a brushes.

if 12a=60, then a=60/12=5

o Ann has 5 brushes!
5 0
3 years ago
travel earns $25 a day working afther school at the supermarket. how much money will he earn in d days​
hichkok12 [17]

Answer:

Hi!

Your answer is:

25d

Since we aren't aware of how many days he is working, we substitute a variable (d) in for it!

I hope this helps!

4 0
4 years ago
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