MathJax Test

5 MathJax Test

It follows from the Pythagorean formula that the length $∥ a ∥$ of $a = ⟨ a_{1}, a_{2} ⟩$ satisfies $∥ a ∥^{2} = a_{1}^{2} + a_{2}^{2} .$

This is shown in the following image:

Thus we get

$∥ a ∥ = \sqrt{a_{1}^{2} + a_{2}^{2}} .$

Example: Use the graph of $y = g (x)$ to sketch the graphs of:

$y = g (x + 2) - 1$

This is different math

A = π r^{2}

that I think I know how it should sound.

This equation I can guess at:

x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}