Question

Find quadratic equation having roots 3and4 in simple way

Answer 1

Sum of roots = 3 + 4 = 7

Product of roots = 3.4 = 12

Required Equation = x² - (Sum of roots) x + (Product of roots)

                               $=x^{2} -(7)x+12\\=x^2-7x+12$

I hope its easy way.

But surprisingly, it is the only way to find equations using roots.