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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

Let x, y and z are positive reals and x^2 + xy + y^2 = 2 ; y^2 + yz...

Let x,yx, y and zz are positive reals and x2+xy+y2=2;y2+yz+z2=1x^2 + xy + y^2 = 2 ; y^2 + yz + z^2 = 1 and z2+zx+x2=3z^2 + zx + x^2 = 3. If the value of xy+yz+zxxy + yz + zx can be expressed as pq\frac{p}{\sqrt{q}} where pp and qq are relatively prime positive integer find the value of p−qp - q :

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