Day 2 - Square Root Method

The square root of a number x is a value y such that y² = x. For example, the square root of 16 is 4, since 4² = 16.

To solve an equation using the square root method, isolate the squared term on one side of the equation and then take the square root of both sides, remembering to consider both the positive and negative roots.

b = 3, b = -3

x = ±4

x = 3, x = 5

Squaring a number means multiplying the number by itself. For example, 3 squared (3²) is 9.

The principle states that if $$x^2 = a$$ , then $$x = ±\text{sqrt}(a)$$ , meaning both the positive and negative square roots are solutions.

x = 10, x = 0

x = ±2√6

A perfect square is an integer that is the square of another integer (e.g., 1, 4, 9, 16). A non-perfect square is not (e.g., 2, 3, 5).