11. \( y^{2}-0,01 \)

Did you know that the equation \( y^2 - 0.01 = 0 \) is a neat example of a difference of squares? This can be factored into \( (y - 0.1)(y + 0.1) = 0 \), which means the solutions are \( y = 0.1 \) and \( y = -0.1 \). These find their roots where the graph of the equation intersects the x-axis, making it a fun and visual way to understand quadratic equations! In real-world applications, such equations can model scenarios such as projectile motion or even the height of an object above ground at specific times. When you think about how objects fall or rise, the concept of a square relationship pops up as we analyze their paths—a critical part of physics that relies on the principles of algebra!