The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation.

Solve the following quadratic equation.

x² – 4x – 3 = 0

Find m if (m-12)x² + 2 (m - 12)x + 2 = 0 has real and equal roots.

Find quadratic equation such that its roots are square of sum of the roots and square of difference of the roots of equation

2x² + 2(p + q)x + p² + q² = 0

Mukund possesses ₹50 more than what Sagar possesses. The product of the amount they have is 15,000. Find the amount each one has.