Quadratic Roots Formulas

Very Important

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: $$x^2 - sx + p = 0$$


    Formula Video


    Question 1

    For what value of A is the sum of the roots of the equation $$A*x^{2} + (A-3) x -5 = 0$$ equal to 2?

    Question 2

    If 'a' and 'b' are the roots of the equation $$x^{2} + P*x +Q =0$$. What is the quadratic equation whose roots are 'a' and '-b' ?

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