x2 + 6x - 7 = 0?

Question

use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions

Answer 1

The discriminant of a quadratic equation ax^2 + bx + c = 0 is b^2 - 4ac. We have a = 1, b = 6, and c = -7, so the discriminant is 6^2 - 4*1*(-7) = 36 + 28 = 64, which is positive, so there are two real roots. If the discriminant is zero, there is one real root. If it is negative, there are two complex conjugate roots.

By the way, this is really a mathematics question, not geography.

Answer 2

x1=-7, x2=1