# Math 2 example statements

If you’re at a Math 2 level, you’ll probably be familiar with most or all of these sentences and formulas, or you would be able to understand what they meant on a surface level if you were to look them up.

The quadratic formula states that the roots of every quadratic expression $$ax^2 + bx + c$$ are equal to $$\displaystyle \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$. The expression under the square root, $$b^2 - 4ac$$, is called the discriminant, and determines how many roots there are in the equation.

The imaginary number $$i$$ is defined as the primary root of the quadratic equation $$x^2 + 1 = 0$$.

To solve the system of linear equations $$\begin{matrix}ax + by = c \\ dx + ey = f\end{matrix}$$ for $$x$$ and $$y$$, the value of $$x$$ can be computed as $$\displaystyle \frac{bf - ce}{bd - ae}$$.

The power rule in calculus states that $$\frac{d}{dx} x^n = nx^{n-1}$$.

All the solutions to the equation $$m^n = n^m$$ where $$m < n$$ are of the form $$m = (1 + \frac 1x)^x$$ and $$n = (1 + \frac 1x)^{x+1}$$, where $$x$$ is any positive real number.

Parents:

• Math 2

Do you work with math on a fairly routine basis? Do you have little trouble grasping abstract structures and ideas?

• Mathematics

Mathematics is the study of numbers and other ideal objects that can be described by axioms.