Teach and explain to me this math,

This looks like a question about solving quadratic equations. A quadratic equation is a second-degree polynomial equation, generally written in the form:

ax² + bx + c = 0

where 'a', 'b', and 'c' are coefficients, and 'a' is not equal to zero.

There are several methods to solve quadratic equations:

1. Factoring: If the quadratic expression can be factored into two linear expressions.
2. Completing the square: A method to rewrite the equation into a perfect square trinomial.
3. Quadratic formula: A general formula that works for all quadratic equations.

The quadratic formula is given by:

x = (-b ± √(b² - 4ac)) / (2a)

The term inside the square root, b² - 4ac, is called the discriminant. It tells us about the nature of the roots:

• If b² - 4ac > 0, there are two distinct real roots.
• If b² - 4ac = 0, there is exactly one real root (a repeated root).
• If b² - 4ac < 0, there are two complex conjugate roots.

To solve a specific quadratic equation, you would identify the values of 'a', 'b', and 'c' and substitute them into the quadratic formula.