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VTMO 2026 - Grade 9 - Final - SET 6 - Self-study Question 2

VTMO · VTMO 2026 - Grade 9 - Final - SET 6 - Self-study

Question 2

a) Solve $x^2+3x\sqrt{x+1}=\dfrac{27}4(x+1)$.

b) Find all pairs of primes $(p,q)$ such that $p^2+5pq+4q^2$ is a perfect square.