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
Romashka [77]
2 years ago
14

What is the best first step in solving the equation 3 +

" title="3\sqrt[6]{x}" alt="3\sqrt[6]{x}" align="absmiddle" class="latex-formula"> = 5?
Mathematics
1 answer:
Andreas93 [3]2 years ago
6 0

3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}

You might be interested in
Please help solve this system of equations
stepan [7]

Make a substitution:

\begin{cases}u=2x+y\\v=2x-y\end{cases}

Then the system becomes

\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}

Simplifying the equations gives

\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}

which is to say,

\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}

\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81

\implies\dfrac uv=\pm27

\implies u=\pm27v

Substituting this into the new system gives

\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1

\implies u=\pm27

Then

\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13

(meaning two solutions are (7, 13) and (-7, -13))

8 0
2 years ago
SUPER EASY PLEASE ANSWER BY 11 PM WILL GIVE BRAINLEIST PLS NO UNRELATED ANSWERS. The population of a small town is expected to d
Viktor [21]

Answer:

1504

Step-by-step explanation:

47*2^25/5

47*2^5

47*32=1504

3 0
3 years ago
Read 2 more answers
PLEASE HELP THIS WAS DUE LAST WEEK!!!!!!!!!!!!!
GrogVix [38]

Answer:

Zack is correct

Step-by-step explanation:

when we plot out all the points we see that not all sides are the same length, which is techinally defines a square. Because of the different sides lengths we know it is a rhombus.

3 0
3 years ago
The price of a video game is $35.60. if you purchase the video game for $30.26 with a coupon, what percent of the original price
prohojiy [21]
35.60-30.26=5.34. 5.34=13%
3 0
3 years ago
The sum of two trinomials is 7x2 - 5x + 4. If one of the trinomials is 3x2 + 2x - 1, then what is the other trinomial?
allsm [11]
Total=sum of parts
Total= trinomial 1 + trinomial 2
Also, total - trinomial 1=trinomial 2

7x² - 5x + 4 -(3x² + 2x - 1)=missing trinomial
7x²-5x+4+(-1 )(3x²+2x-1 ) distribution of -1
7x²-5x+4+(-1)(3x²)+(-1)(2x)-(-1)(1)
7x²-5x+4-3x²-2x+1 simplified
7x²-3x²-5x-2x+4+1 commutative
4x²-7x+5 SOLUTION
4 0
3 years ago
Read 2 more answers
Other questions:
  • How to add 4/12 and 1 2/3
    13·2 answers
  • Find the sum to the equation 3+6+9+12...300
    13·1 answer
  • At the book store, a bag of chips sells for $2.30 each and candy sells for 1.23 each. You have $23 to spend. Write an equation t
    6·1 answer
  • Camp oaks gets 32 boxes of orange juice and 56 boxes or apple juice each shelf in the cupboard can hold 8 boxes of juice what is
    13·1 answer
  • Help asap please, dhebduhd
    8·2 answers
  • On a number line 7.29 and -7.29 are the same point. true or false
    6·1 answer
  • A container holds 54.6 gallons of liquid. The container leaks 8.4 gallons per hour.
    12·1 answer
  • Of every 5 CDs produced in a
    15·2 answers
  • Y+4−1=18 i need help plz
    5·2 answers
  • How many solutions does this system have?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!