The General Quadratic equation will be in the form of a$$x^{2}$$+b$$x$$+c = 0
The values of ‘x’ satisfying the equation are called the roots of the equation.
The value of roots, p and q = $$\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$$
The sum of the roots = p+q = $$\dfrac{-b}{a}$$
Product of roots = p*q = $$\dfrac{c}{a}$$
If c and a are equal then the roots are reciprocal to each other.
If b = 0, then the roots are equal and are opposite in sign.
If roots are given : (x-a)(x-b)=0 => $$x^2 - (a+b)x + ab = 0$$
If sum s and product p of roots are given: $$x^2 - sx + p = 0$$