Solve the equation $2φ(x)=x $ for $x\in\mathbb N^+.$
108869
Solve the following equations for $x, (x ∈ N^+) (a)\ 2φ(x) = x; (b)\ 3φ(x) = x; (c)\ 4φ(x) = x.$
156266
Solving $|x-2| + |x-5|=3$
2027
How can I solve the folowing Diophantine equation with two unknowns?
131941
Solve quadratic congruences.
144765
Solving $\sqrt{x+5} = x - 1$
24862
Solving (quadratic) equations of iterated functions, such as $f(f(x))=f(x)+x$
103993
Find all real solutions for $x$ in $2(2^x−1)x^2+(2^{x^2}−2)x=2^{x+1}−2$.
77071
Solve the functional equation $f(xy) = f(x)f(y) - f(x + y) + 1$ and $f(1) = 2$
20705
On equations $m^2+1=5^n$
25984
Explicit solution of the recursion $x_n = x_{n-1}^2 - 2$ with $x_0>2$
135074
How do you solve this equation?
25174
Solve for $A,B$: $\mathrm{LCM}(A,B)=168$, $\mathrm{HCF(A,B)}=12$
42699
Solve for $f(x)$ if $f(f(x))=6x-f(x)$
55984
How can I find the answer to $\varphi(2^{400} + 2)$?
15753
Solve the following equation in positive integers $x$ and $y$
64448
Find a quadratic equation with root $x_1^2$ and $x_2^2$
121759
If this equation in x has real roots find the value of a and b.