vagoyal6
vagoyal6
15-06-2020
Mathematics
contestada
If x=1+√2, evaluate x³+1/x³.
Respuesta :
mhanifa
mhanifa
15-06-2020
Answer:
10√2
Step-by-step explanation:
If x=1+√2, evaluate x³+1/x³
--------
x³+1/x³= (x+1/x)(x²-x*1/x+1/x²)=(x+1/x)(x²+1/x²+2-3)= (x+1/x)((x+1/x)²-3)
x+1/x= 1+√2 + 1/(1+√2)= 1+√2+(1-√2)/(1-√2)(1+√2)= 1+√2 - (1-√2)= 2√2
x³+1/x³= 2√2((2√2)²-3)= 2√2(8-3)=
10√2
Answer Link
VER TODAS LAS RESPUESTAS ( 88+ )
Otras preguntas
The best way to make inferences is to combine background knowledge with provided in the text. V, or the proof found in the details Abel A.conflict B.evidence C.
Need help ASAP timed
The midpoint of A (-4, 2) and B(8,5) is (2, 7/2) (-6, 3/2) (4, 7/2)
What do poets use to give the words they’ve written more than one meaning ?
Select the correct answer In chapter 3 of Franz Kafka's The Metamorphosis, Gregor is confined to his room after an injury inhibits his movement. However, he fin
Of what relevance are the Glorious Revolution and the English Bill of Rights to government in the United States? O Americans incorporated the idea of a constitu
which expression is equivalent to (2^1/2 2^3/4)^2
Three runners competed in a race. Data were collected at each mile mark for each runner. If the runner ran at a constant pace, the data would be linear. A regre
Which set of side lengths forms a right triangle 2,3,13 4,6,10 9,12,18 15,36,39
what was one goal of the U.S invasion of Afghanistan?
