Sunday, November 18, 2012

Quadratic Inequalities

Similar to Linear Inequalities, solving them is quite easy. The easiest way to solve them is by graphing the inequality.

For Example In this image above
The quadratic inequality is "Y is less than 2x^2+4x-8" Because it is a less than sign the quadratic is dashed. Than you pick a test point. Above the test point picked is (0,0). You plug in (0,0) in the inequality and if the statement isn't true you shade the outside, if it is true you shade in the parabola.

And that is how you solve Quadratic Inequalities!

Try this:
y > x^2+7x+10




Sources:

  • http://algebratesthelper.com/wp-content/uploads/2011/02/graphing-quadratic-inequalities.jpg

Wednesday, November 14, 2012

Simplifying Imaginary Numbers, yes, Imaginary!

What are Imaginary Numbers?

  • Imaginary Numbers are complex numbers, which is in the form of a+bi. A and B are real numbers and i is the square root of -1.
Simplifying Imaginary Numbers are easy. Since the square root of i is -1, simplifying negative square roots are easy. 
For example:
The square root of -9.
To simplify the square root of -9 you must find the square root of -1, which is i.
Than, you find the square root of 9 because the square root of -1 is already found.
The square root of 9 is 3, so finally your answer is 3i.
And that is how you simplify imaginary numbers.