Question

The roots of the quadratic equation ax2 +bx+c=0 will be equal in magnitude but opposite in sign when b=

Answer 1

b = 0

Let α and -α be the roots of the quadratic equation ax² + bx + c = 0.

Sum of roots is given by -b/a.

We have α + (- α) = 0 = -b/a.

From -b/a = 0, we get that b = 0.

That's all!