The

quadratic formula is an amazing discovery of the utmost utility in solving the most multifarious practical problems, such as abound in the best texts of school algebra.

And honestly, when will I need the

quadratic formula in real life?" The cloud of people around me all nod and laugh in agreement.

He sang and rapped about linear functions and the

quadratic formula, which was enthusiastically received by the audience.

Note that the lower and the upper bounds of (4) are the real zeros of p(x) obtained from the well-known

quadratic formula. Therefore, the solution of (1) is ([x.sub.1], [x.sub.2]) and the solution of (2) is [[x.sub.1], [x.sub.2]].

Perhaps, in the first time students meet with the concept of multivalued functions when dealing with the

quadratic formula. The second encounter with the idea occurs in high school, while studying the notion of roots of complex numbers.

Last year, Worcester lost by 5 points because the team misread a question about a

quadratic formula. "It really depends on how hard they work and the luck of the draw on questions," Mr.

In effect, they had the

quadratic formula. They also dealt with the equivalent of systems of two equations in two unknowns.

I guess to get through the tedium of the

quadratic formula, I thought everyone was fair game," he added.

Even the flippin'

quadratic formula! They're all right where I left them, like Aerosmith, perfectly preserved from 1983.

One might be able to answer many questions about the roots' structural properties and the dependence of these properties on the parameters, without recourse to the

quadratic formula. The graph becomes not just an alternative representation of an algebraic object but rather a problem-solving tool.