Let $P(x)=4x^2+6x+4$ and $Q(x) =4y^2-12y+25$. If $x,y$ satisfy the equation $P(x)Q(y)=28$, then find the value of $11y-26x$.
116921
Find the unique pair of real numbers $(x,y)$ that satisfy $P(x)Q(y)=28$
7085
Prove that if the equation $x^{2} \equiv a\pmod{pq}$ has any solutions, then it has four solutions.
91881
How solve this equation
144148
Find the value of $P(1)$
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
72463
How to solve a quartic equation?
22512
Find the value of: $\frac{\sqrt{45} + \sqrt{18}} {\sqrt{7+2\sqrt{10}}}$
143194
How would you solve the diophantine $x^4+y^4=2z^2$
26689
A.P. terms in a Quadratic equation.
153377
How to solve $y^2=3x^4+3x^2+1$ for integers.
58442
Find all the values of $w$ ∈ C that satisfy the equation.
96875
Finding the value of $x^{x^2}+x^{x^6}$ given that $x^{x^4}=4$
62758
How find this value $\frac{a^3}{(a-p)(a-q)}+\frac{b^3}{(b-p)(b-q)}+\frac{c^3}{(c-p)(c-q)}$
68776
Solve in $C$ : $P(z)=z^4+2z^3+5z^2+4z+1=0$ where $P(i-\frac{1}{2}+i\frac{\sqrt 3}{2})=0$
94119
Prove that $xy \leq\frac{x^p}{p} + \frac{y^q}{q}$
53725
Factor $(x+y)^4+x^4+y^4$
29876
Find the number of triples $(x,y,z)$ of real numbers satisfying the equation $x^4+y^4+z^4+1=4xyz$