List of top Engineering Mathematics Questions on Algebra

If P and Q are positive integers such that \(P^2 = Q^2 + 13\), find the value of the product \(PQ\).

Solve the cubic equation: \[ x^3 - \frac{15}{2} x^2 + 18x + 20 = 0 \]

Given the equation: $$ 3^{x^2} = 27 \times 9^x $$ Find the value of: $$ \frac{2^{x^2}}{(2^x)^2} $$