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:
Step-by-step explanation:
If 
exist, then we have that 
.
Therefore, in the case that 
, if we multiply both
terms in the equation by , then we have
and so the equation tells us that
.
(-6m^7 + 20m^6) = 2m^4(-3m^3 + 10m^2)
Therefore, (-6m^7 + 20m^6) ÷ 2m^4 = -3m^3 + 10m^2
Answer:
the probability that the member is neither a doctor not a lawyer is 60%
Step-by-step explanation:
Total: 60 members
Doctor: 15
Lawyer: 9
Lawyer + Doctor: 15 + 9 = 24
60 - 24 = 36 members are neither
36 / 60 = 0.6 x 100 = 60
