Hasan169
Hasan169 Hasan169
  • 14-03-2021
  • Mathematics
contestada

if a^3-1/a^3=4 then what is the value of a-1/a ??

Respuesta :

KyanLin
KyanLin KyanLin
  • 14-03-2021

Answer:

1 or -0.5±1.9365i

Step-by-step explanation:

We know that [tex]x^{3} - y^{3} = (x-y) ^{3} +3xy(x-y)[/tex]

So plug in x=a and y=1/a, (a-1/a)^3+3*a*1/a*(a-1/a)=4

Let a-1/a=k, k^3+3k=4, k=1 or a complex conjugate -0.5±1.9365i

That's the answer.

Answer Link

Otras preguntas

Find the lateral area of an equilateral triangular prism if the area of each lateral face is 10 square centimeters
What is 5/8 ÷ 5/16????
What is the volume of a sphere whose radius is 16.9?
Which of the following modifications to the list of assets and liabilities below would result in a net work of 1000000
What is the square root of 67 times 15? I get lost in the numbers.
Carls father signed him up to play in the community soccer league but carl really wants to play football which type of goalsetting challenge is Carl facing
Find the area of the triangle with a base of 19/12 inches and a height of 13/7 inches.
Which of the following would help you use supporting details to draw conclusions? Make a list that includes setting and tone. Write out the topic sentence
Please help! One question!!
The school has a duty to include new food on the menu. What type of rhetorical device is used here? A. Rhyming B. Consonance C. Assonance D. Alliter