Condition for ax2 + bx+ c = 0 to be a quadratic equation is
a≠ 0; a, b, c are real.
ax2 + bx + c = 0;The coefficient of x2should not be equal to zero, i.e. a≠0
So now a, b, c is real and a≠0, which is condition for the given equation to be quadratic.