What is a quadratic equation, what are its solutions, and what is the quadratic formula?

Okay, Olawole, let's break down "Solutions of Quadratic Equations by Formula."

A quadratic equation is an algebraic equation of the second degree, meaning the highest power of the variable (usually $x$) is 2. It generally looks like this: $ax² + bx + c = 0$, where $a$, $b$, and $c$ are constants and $a$ is not zero.

The solutions (also called roots) of a quadratic equation are the values of $x$ that make the equation true. Graphically, these are the points where the parabola (the graph of a quadratic equation) crosses the x-axis.

The quadratic formula is a direct way to find these solutions. It states that for any quadratic equation in the form $ax² + bx + c = 0$, the solutions for $x$ are given by:

$x = (-b ± √(b² - 4ac)) / (2a)$

You just substitute the values of $a$, $b$, and $c$ from your specific equation into this formula to find the two possible values for $x$.