Find all real solutions to the equation $4x^2 - 40[x] + 51 = 0$, where $[x]$ is the greatest integer less than or equal to $x$.
52029
If $x\in\mathbb R$, solve $4x^2-40\lfloor x\rfloor+51=0$.
128107
find all $ a \in \mathbb N $ such that $2^a − 1 \equiv 0 \pmod 3$ and $ 4x^2 + 1 \equiv 0 \pmod {\frac{2^a -1}{3}}$ has a solution
143194
How would you solve the diophantine $x^4+y^4=2z^2$
119109
Integer solutions to $ n^2 + 1 = 2 \times 5^m$
54608
How to find all solutions of $4^x-3^x=1$?
103304
Finding the number of solutions to a diophantine equation
142725
The general solution of $x^a = a^x$ for real $a >0$
77533
What solutions does the equation 4x≡2mod10 have? (Hint, it will have more that one.) What about solutions to an equation ax≡dmodn, where d=gcd(a,n)?
95494
Number of solutions of an arithmetic function's equation
13120
Find all integer solutions to $x^2+y^2+z^2=2xyz$
23835
Discrete mathematics - Find all integer solutions of the equation $a^2+ b^2 + c^2=a^2 b^2$.
57129
How to find an integer solution for general Diophantine equation $ax + by + cz + dt... = N$
28594
Number of integer solutions of the following equation
95913
Solve for $x$: $2^x=4x$
47001
Cubic diophantine equation
77024
Find the number of solutions of $x^2=x\mod m$ for any integer $m$
116497
Generalized Pell equation $x^2-2y^2=49$