Math, asked by thakurrina565, 3 months ago

a²+1/a²=23 find a³+1/a³

Answers

Answered by Anonymous

2

Solution:

» a² + 1/a² = 23 ... (1)

» a² + 1/a² + 2 = 25

» a + 1/a = 5 ... (2)

Now, a³ + 1/a³ = (a + 1/a) [a² - a (1/a) + 1/a²]

from (1) & (2)

=> a³ + 1/a³ = (5) (23 - 1)

» a³ + 1/a³ = 5 (22) = 110

Previous Question

Next Question

Similar questions

Political Science, 1 month ago

right to freedom definition of class 11th...

Math, 1 month ago

express each of the following integers as a product of its prime factors 87944...

Environmental Sciences, 1 month ago

Hola Brainlians !!! Q] Define term "Prefabricated". What are the uses of Prefabricated building? Mention the materials used in making Prefabricated building. No spam, spam answers will be reported immediately and strict action will be taken further. Don't be greedy for points. Be brainly !

Computer Science, 3 months ago

The Bitmap tools are present in the tab...

English, 3 months ago

what are the advantages of high level language over machine ...

Math, 9 months ago

2√2x^2-9x+5√2= - X Chapter: - Polynomials Q01 :} Find the Zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients:...

Science, 9 months ago

give examples of a food chain with four links...

Math, 9 months ago

Find the product -13×(-12/5×35/36)=(-13/24×-12/5)×35/36...