Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.
No. While the sum of two qudratics cannot have a power greater than two, it could have a power of 2, 1 or 0. x2 + 1 is one quadratic (2-x)(2+x) is another quadratic. Their sum is 1, a constant (power = 0).
No, but they are symmetric with respect to a line parallel to the y-axis - which could be the y-axis itself.
-0.82 , -4.82
As one example, the quadratic equation can be used to model many different phenomena - if you were to measure the height of a baseball as it was thrown straight up in the air and pulled down again, and plot the height with respect to time, it would look like a quadratic equation. Computer modelling is a large field with many applications in physics, meterology, and even social sciences.
Symmetry
Yes and the straight line could be parallel to the x or y axes
It could be undefined if you do not know the original number of which the "proportion" was meant to be out of.
Yes it is possible. The solutions for a quadratic equation are the points where the function's graph touch the x-axis. There could be 2 places to that even if the graph looks different.
Use the quadratic equation. If ax+bx+c=0 x=(-b±(b^2-4ac)^(1/2))/2a. You could also complete the square, factor,or graph the equation.
"Aramis could just barely make out an undefined figure approaching through the fog."
The butterflies wings had perfect symmetry
Yes it could. If the real root was r and the complex root was c, then x^2 - (r + c)*x + r*c would have one real and one complex root. Of course, the coefficients of x and the constant term would not be real but if you are in the complex domain then there is no reason to restrict your coefficients to real numbers.
There are a few ways that the TM joint could be affected by a fracture of the condylar. The symmetry of the face could be impacted. The TM joint could also have limits in how it functions and opens.
It has bi-lateral symmetry, although it's so simple a creature you could almost argue for radial symmetry.
yes it could still be rotatonal symmetry
All geometric figures.
The domain is whatever you want it to be. In the absence of a domain being defined explicitly, it is taken to be the whole of the real line.