What is the sum of the roots of the equation x squared -7x-14 = 0.

We calculate the discriminant of the equation x ^ 2 – 7x – 14 = 0.

D = (- 7) ^ 2 – 4 * 1 * (- 14) = 49 + 56 = 105.

D> 0, which means that the equation has 2 different real roots.

By Vieta’s theorem, the sum of the roots of the equation is equal to the coefficient at the first power of the unknown x, taken with the opposite sign.

In our case, at x there is a coefficient of – 7. This means that the sum of the roots of the equation x ^ 2 – 7x – 14 = 0 is equal to 7.