# Sum of roots of a quadratic equation formula explained

Learn and know the formula that can be used for finding **sum of roots of a quadratic equation**. This is very useful formula for finding sum of the roots. By this formula, without finding the roots we can find directly sum of roots.

Do you know what does quadratic equations means? Hope that you know its definition, so now we will move on to learn **sum of** **roots of a quadratic equation formula.**

**Below given is the formula to find the Sum of roots of a quadratic equation:**

First, let us consider a quadratic equation. ay^{2} + by + c = 0 is a quadratic equation in terms of “y”. If “A” and “B” are the two roots of the given quadratic equation then the formula for sum of roots is given as -b/a, where “a” is the coefficient of y^{2} and “b” is the coefficient of “y”.

Note:

Do you the graph of a quadratic equation is a “Parabola”.

Example:

If the given quadratic equation is 2x^{2} + 4x – 6 = 0 then how to find the sum of the roots. From the Q.E. we know that here a = 2, b = 4 and c =-6. The sum of roots formula is –b/a = -4/2 = -2.

Hope you have learnt the formula for sum of roots of Q.E.

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