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
kifflom [539]
3 years ago
13

0= 27x^3 + 125 Please help quickly

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Answer:

-5/3 = x

x = 5/6 ± 5 sqrt(3)i /(6)

Step-by-step explanation:

0= 27x^3 + 125

Subtract 125 from each side

-125 = 27 x^3

Divide each side by 27

-125/27 = x^3

Take the cube root of each side

(-125/27 ) ^ (1/3) = x^3 ^ (1/3)

-5/3 = x

This is the only real answer

Let me know if you want the complex solutions

0= 27x^3 + 125 = ( 3x) ^3 + 5^3

a^3 + b^3 = (a+b) • (a^2-ab+b^2)

             0   = ( 3x+5) ( 9x^2 - 15x +25)

Using the zero product property

3x+5 =0      9x^2 - 15x +25 =0

3x = -5         9x^2 -15x = -25

x = -5/3       9(x^2 - 5/3x) = -25

Completing the square

                    (x^2 - 5/3x) = -25/9

                     x^2 - 5/3x +25/36 = -25/9 + 25/36

                    ( x-5/6) ^2 = -25/12

                    Take the square root of each side

                    sqrt( x-5/6) ^2 =± sqrt(-25/12)

                       ( x-5/6)  =± 5i/(2 sqrt(3))

                   Add 5/6

                       x = 5/6 ± 5i/(2 sqrt(3))

We cannot leave a sqrt in the denominator so multiply by sqrt(3)/sqrt(3)

                      x = 5/6 ± 5 sqrt(3)i /(2(3))

                     x = 5/6 ± 5 sqrt(3)i /(6)

You might be interested in
Need help with all questions !!! Get a brainiest answer and a thanks !!
stich3 [128]
1) carrots= 5/12 peas= 2/12 potatoes=1/12
corn= 4/12

2) there are more carrots than peas. there are more corn than potatoes.

3) 2/3

4) separate like number 3 but instead of corn put carrots and leave the peas.
6 0
3 years ago
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirts including $3.99 shippi
nirvana33 [79]

Answer: The answer would be

D - 12.25x + 3.99 = 77.49

Step-by-step explanation:

If each shirt costs $12.25, that would be 12.25 times “x” amount of shirts. Then, you add the $3.99 shipping amount. Which all equals 77.49.

8 0
3 years ago
Read 2 more answers
What's the answer to this questions?
tia_tia [17]
I believe the answer is 2 :) .
6 0
3 years ago
Divide.<br> 3 5/9 ÷ -2 2/3<br> Enter your answer as a mixed number, in simplified form, in the box.
kvv77 [185]
-1 and 1/3 because you convert to a regular fraction and get (32/9)/(-8/3), then you flip the fraction and multiply
3 0
3 years ago
Number A is 5342. Number B is 11124 greater than A. Number C is 3104 less than B. What is the total value of numbers A,B and C?
Leni [432]

Answer:

B - 16466

C - 13362

total value - 35170

Step-by-step explanation:

to find B add 11124 to 5342 (11124+5342=16466)

to find C subtract 3104 from 16466 (16466-3104=13362)

total value - add them all together

5 0
3 years ago
Other questions:
  • Simplify.<br><br> 100x(5 - 3p)<br><br> 500x - 3p<br> 5x - 300p<br> 500x - 300p<br> 500x - 300px
    12·1 answer
  • How do you factor the trinomial 3x^2+18x-21?
    14·1 answer
  • A figure drawn in the coordinate plane has the coordinates J(‒1,5), K(6,5), L(9,1) and M(2,1).
    8·2 answers
  • Evaluate 3(4-2) Thanks!! Will give out brainliest
    11·2 answers
  • Find the Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables. If x = f(u, v, w), y = g(u, v, w), and z = h(u, v
    6·1 answer
  • Find the volume of a right prism with height h=10 cm, The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm
    7·1 answer
  • Need help with finding Area.
    10·2 answers
  • X² + 3x + k = 0<br>pls help​
    12·1 answer
  • Lisa typed a 165-word paragraph in three minutes. Use the ratio table to
    8·1 answer
  • Calculate the length of ed and be
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!