Explore BrainMass

Explore BrainMass

    Quadratic equation and variables

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    1. When solving a quadratic equation using the quadratic formula, it is possible for the b2 - 4ac term inside the square root (the discriminant) to be negative, thus forcing us to take the square root of a negative number. The solutions to the equation will then be complex numbers (i.e., involve the imaginary unit i).

    In the real world, where might these so-called imaginary numbers be used?

    2. When using a formula, we often know the value of one variable to a greater degree of accuracy than we know the others. In your opinion, what affect, if any, does it make on our use of a formula if we know the value of one variable to a greater degree of accuracy than another?

    © BrainMass Inc. brainmass.com March 4, 2021, 6:48 pm ad1c9bdddf

    Solution Preview

    1. Complex numbers are used in studies of physical phenonomena, for example, a differential
    equation, with coefficients like the a, b, and c in the quadratic formula, that models how electrical circuits or forced spring/damper systems behave. The movement of the shock absorber of a car as it goes over a bump is an example. The behavior of the differential equations depends upon whether the roots of a certain quadratic are complex or real. If ...

    Solution Summary

    This describes when imaginary numbers might be used, and states whether or not it matters if one variable is more accurate than another.