Is the question right ?

Algebra Level 5

\[\large \begin{cases} \begin{align*} x+y+z&=4 \\ x^2+y^2+z^2&=6 \end{align*} \end{cases}\]

If \(x,y\) and \(z\) are real numbers that satisfy the equation above, and that they lie in the range of \( \left [ \frac ab, \frac cd \right] \) for positive integers \(a,b,c\) and \(d\) such that \(\gcd(a,b) = \gcd(c,d) = 1 \), find the value of \(a+b+c+d\).

×

Problem Loading...

Note Loading...

Set Loading...