The quadratic formula is used to solve quadratic equations of the form:

\[
ax^2 + bx + c = 0
\]

The quadratic formula is given by:

\[
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\]

Here's what each part represents:

- \(a\): The coefficient of \(x^2\)
- \(b\): The coefficient of \(x\)
- \(c\): The constant term
- \(\pm\): Indicates that there are generally two solutions, one using the positive square root and one using the negative square root.

Would you like more details or help with a specific example?

Here are some related questions:

1. How do you determine the number of real solutions using the discriminant?
2. Can the quadratic formula be used for all types of quadratic equations?
3. How can the quadratic formula be derived?
4. What does the discriminant tell you about the nature of the roots?
5. How do you simplify the quadratic formula when the discriminant is a perfect square?
6. When should you use the quadratic formula instead of factoring?
7. What is the relationship between the quadratic formula and the graph of a quadratic function?
8. Can the quadratic formula be used for equations with complex roots?

**Tip:** Always simplify the equation into the standard form \(ax^2 + bx + c = 0\) before applying the quadratic formula.

Learn how to solve quadratic equations using the quadratic formula. Understand the formula x = (-b ± sqrt(b^2 - 4ac)) / (2a) and its application in solving equations of the form ax^2 + bx + c = 0. Suitable for high school students studying algebra and quadratic equations.

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