A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant …

You're always going to have one that's plus the square root of the discriminant, and one that's minus the square root of the discriminant. The exception is when the discriminant is zero, because plus zero …

The discriminant is part of the quadratic formula, and because the discriminant is inside a square root sign it cannot be negative, and from the sign of the discriminant we can determine how many roots a …

Learn how to test whether a function with two inputs has a local maximum or minimum.

Remember when you first started learning fractions, you encountered some different rules for adding, like the common denominator thing, as well as some other differences than the whole numbers you …

Learn what local maxima/minima look like for multivariable function.

The b 2 4 a c portion of the quadratic formula is called the discriminant. The value of b 2 4 a c tells us the number of unique real solutions the equation has:

The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential …

It's interesting that we can use discriminant to determine the solution of x in quadratic formula. But when if there is no solution, can we argue that the formula is no meaning in some degree.

What does it mean to take the derivative of a function whose input lives in multiple dimensions? What about when its output is a vector? Here we go over many different ways to extend the idea of a …