Today we started the new chapter on quadratic equations and functions.

We started with talking about square roots. Every postive real number has two square roots, one positive square root and one negative square root. The square root of 0 is 0, and the square root of a negative number does not exist.

We talked about perfect squares, those are numbers whose square roots are integers, or quotients of integers.

We looked at the simple form of a quadratic equation of x^2 = d. It has 2 solutions, +/- sqrt(d), if d > 0; it has 1 solution 0, if d = 0; it has no solution if d < 0.

We then focused on radical simplification. A radical is in its simplest form if:

a. There is no perfect square factors, other than 1 in the radical;

b. There is no fraction in the radical;

c. There is no radical in denominators.

So today’s homework is about solving simple quadratic equations in the form of x^2 = d, and to simply radicals.

Homework here: http://blog.newtonchineseschool.org/wangweidong/files/2011/11/Math7_Fall_HW_L9.pdf