Tagged Questions
1
vote
2answers
49 views
How can be done by the method of mathematical induction?
We are given that $P(x+1)-P(x)=2x+1$
We also know that $P(0)=1$
We want to prove that $P(2004)=(2004)^2 +1$
Can someone explain how can be solved with mathematical induction?
Thank you in advance!
0
votes
3answers
48 views
system of equations with three equations.
We have to find all real solutions to this system of equations:
$$x=\frac{4z^2}{1+4z^2},y=\frac{4x^2}{1+4x^2},z=\frac{4y^2}{1+4y^2}$$
3
votes
1answer
82 views
How to solve this System of Polynomial Equations?
I have to complete a summer packet of 90 Algebra 2 questions. I have completed 89 of them, the only one I could not get was this. I know the answer is $y = \frac {47}2$, $\frac 17$ according to ...
0
votes
1answer
91 views
Simplify this algebraic fraction
I have this algebraic fraction:
$$\frac{t^4-1}{t^2-t^6}$$
And I'm told the answer is:
$$\frac{-1}{t^2}$$
I can't for the life of me work out how to simplify it. (I'm sorry for the simple question)
...
0
votes
0answers
143 views
Partial fraction expansion when the degree of the numerator is unknown
Hope it's not too stupid: is there any general approach to partial fraction expansion when the degrees of polynomials in the numerator are unknown?
